79507506960 has 200 divisors, whose sum is σ = 315590294976. Its totient is φ = 18173134080.

The previous prime is 79507506937. The next prime is 79507506961. The reversal of 79507506960 is 6960570597.

79507506960 is a `hidden beast` number, since 79 + 5 + 0 + 7 + 506 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79507506897 and 79507506906.

It is not an unprimeable number, because it can be changed into a prime (79507506961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 831046 + ... + 921765.

Almost surely, 2^79507506960 is an apocalyptic number.

79507506960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79507506960 is an abundant number, since it is smaller than the sum of its proper divisors (236082788016).

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

79507506960 is a wasteful number, since it uses less digits than its factorization.

79507506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752843 (or 1752828 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 79507506960 in words is "seventy-nine billion, five hundred seven million, five hundred six thousand, nine hundred sixty".