79664 has 20 divisors (see below), whose sum is σ = 166656. Its totient is φ = 36672.

The previous prime is 79657. The next prime is 79669. The reversal of 79664 is 46697.

79664 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 79664.

It is not an unprimeable number, because it can be changed into a prime (79669) by changing a digit.

79664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 399.

2⁷⁹⁶⁶⁴ 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 79664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

79664 is an abundant number, since it is smaller than the sum of its proper divisors (86992).

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

79664 is a wasteful number, since it uses less digits than its factorization.

79664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 79664 is about 282.2481177971. The cubic root of 79664 is about 43.0282849779.

The spelling of 79664 in words is "seventy-nine thousand, six hundred sixty-four".