Solving a product?



I'm trying to use maxima to solve some product formulas, but having some
trouble - note I'm not a very mathy person so I might be going about
this all wrong.  An example of trying to solve a simple product formula:

solve(product(k + 1, k, 1, n) = 720, n);

I would expect to get something akin to "n = 5" out of it, but it never
reduces even the simplest of product formulas it seems.  Is there a way
to get that out of it?