79929360 has 120 divisors (see below), whose sum is σ = 306795840. Its totient is φ = 18268416.

The previous prime is 79929329. The next prime is 79929383. The reversal of 79929360 is 6392997.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2890 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (2556632).

Almost surely, 2^79929360 is an apocalyptic number.

79929360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79929360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153397920).

79929360 is an abundant number, since it is smaller than the sum of its proper divisors (226866480).

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

79929360 is a wasteful number, since it uses less digits than its factorization.

79929360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15885 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 79929360 is about 8940.3221418470. The cubic root of 79929360 is about 430.7600762707.

The spelling of 79929360 in words is "seventy-nine million, nine hundred twenty-nine thousand, three hundred sixty".