There is a simple rule named Mattauch rule with just 2 exemptions:
Out of two isotopes with same mass and whose proton number differs by one, at least one must be radioactive.
The 2 exemptions are:
Antimony-123 and tellurium-123 are both stable
Tantalum-180 and hafnium-180 are both stable (Also tungsten-180 decays by alpha decay, not electron capture as it should by Mattauch rule).
A consequence of Mattauch rule is:
By Mattauch rule, the only stable isotopes with odd number of protons and neutrons are the 4 light isotopes D, Li-6, B-10 and N-14. All others should be radioactive.
Tantalum 180 is violating Mattauch rule and so is the 5th stable odd-odd isotope. There are still just these 5. Cobalt 60 is odd-odd, and is not one of these 5 stable isotopes, so it is radioactive.