79971360 has 96 divisors (see below), whose sum is σ = 287908992. Its totient is φ = 18278400.

The previous prime is 79971341. The next prime is 79971371. The reversal of 79971360 is 6317997.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8541 + ... + 15260.

It is an arithmetic number, because the mean of its divisors is an integer number (2999052).

Almost surely, 2^79971360 is an apocalyptic number.

79971360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79971360 is an abundant number, since it is smaller than the sum of its proper divisors (207937632).

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

79971360 is a wasteful number, since it uses less digits than its factorization.

79971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23826 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 79971360 is about 8942.6707420099. The cubic root of 79971360 is about 430.8355126945.

The spelling of 79971360 in words is "seventy-nine million, nine hundred seventy-one thousand, three hundred sixty".