79629264 has 160 divisors (see below), whose sum is σ = 268732800. Its totient is φ = 22256640.

The previous prime is 79629259. The next prime is 79629307. The reversal of 79629264 is 46292697.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61132 + ... + 62420.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^79629264 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 79629264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134366400).

79629264 is an abundant number, since it is smaller than the sum of its proper divisors (189103536).

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

79629264 is a wasteful number, since it uses less digits than its factorization.

79629264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 79629264 is about 8923.5230710746. The cubic root of 79629264 is about 430.2203017521.

The spelling of 79629264 in words is "seventy-nine million, six hundred twenty-nine thousand, two hundred sixty-four".