79120903680 has 1200 divisors, whose sum is σ = 355603802400. Its totient is φ = 16665772032.

The previous prime is 79120903619. The next prime is 79120903709. The reversal of 79120903680 is 8630902197.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 132088021 + ... + 132088619.

It is an arithmetic number, because the mean of its divisors is an integer number (296336502).

Almost surely, 2^79120903680 is an apocalyptic number.

79120903680 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 79120903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177801901200).

79120903680 is an abundant number, since it is smaller than the sum of its proper divisors (276482898720).

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

79120903680 is a wasteful number, since it uses less digits than its factorization.

79120903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 79120903680 in words is "seventy-nine billion, one hundred twenty million, nine hundred three thousand, six hundred eighty".