79107401520 has 640 divisors, whose sum is σ = 344086548480. Its totient is φ = 16276930560.

The previous prime is 79107401479. The next prime is 79107401567. The reversal of 79107401520 is 2510470197.

It is a happy number.

79107401520 is a `hidden beast` number, since 7 + 91 + 0 + 7 + 40 + 1 + 520 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5905230 + ... + 5918610.

It is an arithmetic number, because the mean of its divisors is an integer number (537635232).

Almost surely, 2^79107401520 is an apocalyptic number.

79107401520 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 79107401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172043274240).

79107401520 is an abundant number, since it is smaller than the sum of its proper divisors (264979146960).

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

79107401520 is a wasteful number, since it uses less digits than its factorization.

79107401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13450 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 79107401520 in words is "seventy-nine billion, one hundred seven million, four hundred one thousand, five hundred twenty".