75660 has 48 divisors (see below), whose sum is σ = 230496. Its totient is φ = 18432.

The previous prime is 75659. The next prime is 75679. The reversal of 75660 is 6657.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75660.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75660.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732 + ... + 828.

It is an arithmetic number, because the mean of its divisors is an integer number (4802).

2⁷⁵⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115248).

75660 is an abundant number, since it is smaller than the sum of its proper divisors (154836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75660 is a wasteful number, since it uses less digits than its factorization.

75660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 75660 is about 275.0636290025. The cubic root of 75660 is about 42.2949756228.

The spelling of 75660 in words is "seventy-five thousand, six hundred sixty".