For positive integers N and k, define N to be k-nice if there exists a positive integer a such that a^{k} has exactly N positive divisors. Find the number of positive integers less than 1000 that are neither 7 -nice nor 8-nice.
For positive integers N and k, define N to be k-nice if there exists a positive integer a such that a^{k} has exactly N positive divisors. Find the number of positive integers less than 1000 that are neither 7 -nice nor 8-nice.