There are many mental disorders. Psychopathy is just one of them. Not every crazy person is a psychopath; not everyone who harms others is a psychopath. Psychopathy is a specific type of a disorder, not an umbrella term for "everything I dislike".
The best book I found on this topic is "The Psychopath Code" by Pieter Hintjens.
In real life, I met 2 people I would bet are psychopaths, in the clinical meaning of the word. I won't try to provide a short description, because short descriptions are not good enough to explain; if you didn't have the same kind of experience, you would probably just round the words to something else you are already familiar with.
A real psychopath is something like a spider in a human skin, with very good human-role-playing abilities. Your first experience is most likely going to be "this is a charming person". Only after longer interaction you will unconsciously start noticing patterns that feel somehow weird. But when you express doubt, there is always a good explanation and you will feel guilty for doubting afterwards. Only when they attack you, you will find yourself in a conflict with a non-human intelligence. And then you know that if you try to explain to someone who didn't have the same experience, they will never understand.
Psychopaths seem like masters of manipulation, so it makes sense to ask why this doesn't translate into a huge evolutionary advantage: why they don't already make 100% of the population. But it seems like an important part of their charm is being unknown. When you meet your first psychopath, they can manipulate you as they wish, because you have no idea what you are interacting with. Meet the second or the third one, however, and you have a chance to recognize the pattern. So when they exceed some fraction of the population, normies probably learn to recognize them and start killing them. But when they become rare again, they again get the advantage of being unknown.
A psychopath is simply a person who only has a certain subset of human emotions. That doesn't define what they will do; just like being a neurotypical humans does not define how one behaves. It just makes certain predatory behaviors more likely, because it removes some reasons not to do them (such as empathy) and adds some skills, such as being a better liar (humans are usually quite bad at lying, because they unconsciously display little signs of their emotions; but this does not happen when you simply do not have that kind of emotion).