79864565760 has 832 divisors, whose sum is σ = 332148326400. Its totient is φ = 17825660928.

The previous prime is 79864565723. The next prime is 79864565773. The reversal of 79864565760 is 6756546897.

79864565760 is a `hidden beast` number, since 7 + 9 + 8 + 6 + 4 + 56 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181923621 + ... + 181924059.

Almost surely, 2^79864565760 is an apocalyptic number.

79864565760 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 79864565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166074163200).

79864565760 is an abundant number, since it is smaller than the sum of its proper divisors (252283760640).

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

79864565760 is a wasteful number, since it uses less digits than its factorization.

79864565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 79864565760 in words is "seventy-nine billion, eight hundred sixty-four million, five hundred sixty-five thousand, seven hundred sixty".