It varies. In a typical case, you can count on anything up to at least the size of an int
being returned in some register(s) (e.g., typically eax on x86, $v0-$v1 on MIPS, r0 on ARM).
On many machines, larger return values (e.g., a struct with several members) will result in the caller allocating space on the stack to hold the return value, and either passing a pointer to that space as a hidden argument to the function, or the function having implicit knowledge of the location of that space relative to (for example) the stack pointer when the function was entered.
Though the question is tagged C, I'll also mention that in C++ there are a few special rules about return values. Specifically, there's a return value optimization and a named return value optimization. These allow a compiler to elide code for copying a return value, even if/when (for example) the copy would normally have visible side effects. These are intended to allow optimization where the function constructs a return value where the calling code will need it, rather than constructing it locally in the function, and then making a copy back to where the calling code can use it.