Did Sauron put HIMSELF into the other rings? When his body was destroyed in the great war during the battle of Númenor, Sauron survived partially because of the one ring, and much of what he was had been "stored" in it.

The other rings corrupted simply because of their power. Mortal men couldn't handle it. The dwarves also declined after they got the rings, too, didn't they? The only ones that really seemed able to handle the power were the elves, and not even they could have resisted the one ring had they the opportunity to possess it for a long time.

I just checked and actually the three rings of power the elves had hadn't been touched by Sauron at all. The problem was the one ring "bound" them all, and allowed Sauron to influence and spy upon the wearers of the other rings.

It was the evil of the Dark Lord that made the ring evil. His malice was in the ring itself as the description of his forging the ring indicated.

The rings were corruptible because they were specifically designed to be so. Essentially, they were a trap that Sauron used to try to take control of the elves. When that failed, he stole all of them except the three and used them with varying degrees of success to trap the other races. All of the rings, even the three kept by the elves, were created using the treacherous techniques that Sauron taught them, so they were all vulnerable to the power of the one ring. The only reason that the elves were able to wear their rings during the books was because Sauron was not in possession of the ring.

In regards to why it was evil, this was partly due to the nature of the ring, and partly due to the primary purpose of the ring. Because the ring had to be strong enough to overcome both the other rings of power, as well as their wearers (who would likely be strong themselves), the ring needed to be really powerful. The most readily available source for sauron was infusing it with a good deal of his own power. This left a strong imprint of his own characteristics, which would effect whoever used it. Also, you have to remember that the primary purpose of the ring was to enslave and corrupt others. No matter what you used the ring for, it would always have an inclination for those uses. Over time, whoever used the ring would be bent in this direction.

Of course, this assumes that they are even strong enough to control the ring. If they aren't, the ring is somewhat conscious, and is capable of controlling the person who uses it to a certain extent. Look at Gollum. Within moments of finding the ring, he was driven to murder someone. And then, after many years, he was still not able to use even a tiny fraction of the ring's full power. Whereas Sauremon or Aragorn would be able to control the ring and use its power, even though the other factors would still corrupt them in the long run.

I just checked and actually the three rings of power the elves had hadn't been touched by Sauron at all. The problem was the one ring "bound" them all, and allowed Sauron to influence and spy upon the wearers of the other rings.

But only after Sauron could see or touch them. Hence why the wearers of the Elven Rings were invisible to him (and your first answer is mine as well - he put part of his essence into the one ring).

The ring is a physical focal point of Sauron's power. It has a sort of sentience to it, several characters make reference to the ring striving to return to its master. Sauron poured much of himself into creating the ring, to give it that power of dominion. The ring is evil because it is essentially an aspect of Sauron himself.

Did Sauron put HIMSELF into the other rings?

It was the evil of the Dark Lord that made the ring evil. His malice was in the ring itself as the description of his forging the ring indicated.

he put part of his essence into the one ring

My feeling as well. The One Ring and Sauron are intrinsicly connected:

Gandalf says,

He made the ring himself, it is his, and he let a great deal of his own former power fall pass into it, so that he could rule all the others. Fellowship of the Ring p.6

and

If it is destroyed, them he will fall; and his fall will be so low that none can foresee his arising ever again. For he will lose the best part of the strength that was native to him in the beginning. (Return of the King, p.155)

Elrond mentiones,

It belongs to Sauron and was made by him alone, and is altogether evil. (Fellowship of the Ring p. 281)

I always wondered why the ring of power can make Sauron huge and smash dozens of people at once. While for everyone else it just makes them dissapear.

"Yay, I have the one ring, the most powerful ring in the entire middle earth, check this out, I can turn invisible and Sauron sees exactly where and who I am."

"Awesome dude, save that shit, it can make us humans really powerful against evil......"

"Awesome dude, save that shit, it can make us humans really powerful against evil......"

yeah. This is a pretty huge misconception. Why do you think the most wize characters, such as Galadriel, Gandalf, Elrond, faramir, etc fought to refuse the One?

""Awesome dude, save that shit, it can make us humans really powerful against evil......""

and it isn't like they formed that misconception on their own. Sauron intentionally mislead in order to make the susceptible want the ring. Most hadn't even heard of the ring, and fewer knew the secrets of it. They just knew it was Sauron's and that it had great power.