79116480 has 112 divisors (see below), whose sum is σ = 279135840. Its totient is φ = 21095424.

The previous prime is 79116469. The next prime is 79116493. The reversal of 79116480 is 8461197.

79116480 is a `hidden beast` number, since 7 + 9 + 1 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4062 + ... + 13218.

Almost surely, 2^79116480 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 79116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139567920).

79116480 is an abundant number, since it is smaller than the sum of its proper divisors (200019360).

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

79116480 is a wasteful number, since it uses less digits than its factorization.

79116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 79116480 is about 8894.7445157239. The cubic root of 79116480 is about 429.2948239918.

It can be divided in two parts, 791 and 16480, that added together give a palindrome (17271).

The spelling of 79116480 in words is "seventy-nine million, one hundred sixteen thousand, four hundred eighty".