79807368960 has 1440 divisors, whose sum is σ = 341900697600. Its totient is φ = 17557585920.

The previous prime is 79807368959. The next prime is 79807369013. The reversal of 79807368960 is 6986370897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×79807368960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628404417 + ... + 628404543.

It is an arithmetic number, because the mean of its divisors is an integer number (237431040).

Almost surely, 2^79807368960 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 79807368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170950348800).

79807368960 is an abundant number, since it is smaller than the sum of its proper divisors (262093328640).

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

79807368960 is a wasteful number, since it uses less digits than its factorization.

79807368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 79807368960 in words is "seventy-nine billion, eight hundred seven million, three hundred sixty-eight thousand, nine hundred sixty".