79876712424960 has 1120 divisors, whose sum is σ = 319916706734592. Its totient is φ = 18951821475840.

The previous prime is 79876712424947. The next prime is 79876712424967. The reversal of 79876712424960 is 6942421767897.

79876712424960 is a `hidden beast` number, since 7 + 9 + 8 + 7 + 6 + 7 + 124 + 2 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79876712424967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 964804687 + ... + 964887473.

Almost surely, 2^{79876712424960} 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 79876712424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159958353367296).

79876712424960 is an abundant number, since it is smaller than the sum of its proper divisors (240039994309632).

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

79876712424960 is an equidigital number, since it uses as much as digits as its factorization.

79876712424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82886 (or 82855 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 79876712424960 in words is "seventy-nine trillion, eight hundred seventy-six billion, seven hundred twelve million, four hundred twenty-four thousand, nine hundred sixty".