79164960 has 96 divisors (see below), whose sum is σ = 285005952. Its totient is φ = 18094080.

The previous prime is 79164947. The next prime is 79164991. The reversal of 79164960 is 6946197.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8421 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (2968812).

Almost surely, 2^79164960 is an apocalyptic number.

79164960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79164960 is an abundant number, since it is smaller than the sum of its proper divisors (205840992).

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

79164960 is a wasteful number, since it uses less digits than its factorization.

79164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23586 (or 23578 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 79164960 is about 8897.4693031221. The cubic root of 79164960 is about 429.3824920457.

The spelling of 79164960 in words is "seventy-nine million, one hundred sixty-four thousand, nine hundred sixty".