79903272960 has 780 divisors, whose sum is σ = 333536602608. Its totient is φ = 18245025792.

The previous prime is 79903272931. The next prime is 79903272971. The reversal of 79903272960 is 6927230997.

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 = 79903272897 and 79903272906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81284629 + ... + 81285611.

Almost surely, 2^79903272960 is an apocalyptic number.

79903272960 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 79903272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166768301304).

79903272960 is an abundant number, since it is smaller than the sum of its proper divisors (253633329648).

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

79903272960 is an equidigital number, since it uses as much as digits as its factorization.

79903272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 79903272960 in words is "seventy-nine billion, nine hundred three million, two hundred seventy-two thousand, nine hundred sixty".