I've never read a working and reasonably simple theory that predicts whether a given nucleus is stable or not, so I suspect humans have none up to now.
What works :
- Even numbers of neutrons or protons are more stable.
- About as many neutrons as protons is more stable, but the proportion of neutrons increases with the atomic number.
That's all more or less... For instance, the "magic numbers" of protons or neutrons aren't very satisfactory. And unfortunately, this won't tell you a number of isotopes for a given element.
This is research presently, both to observe nuclei and to model them.