79100958720 has 384 divisors, whose sum is σ = 295154496000. Its totient is φ = 18077810688.

The previous prime is 79100958701. The next prime is 79100958799. The reversal of 79100958720 is 2785900197.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79100958720.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10533207 + ... + 10540713.

It is an arithmetic number, because the mean of its divisors is an integer number (768631500).

Almost surely, 2^79100958720 is an apocalyptic number.

79100958720 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 79100958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147577248000).

79100958720 is an abundant number, since it is smaller than the sum of its proper divisors (216053537280).

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

79100958720 is an equidigital number, since it uses as much as digits as its factorization.

79100958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 79100958720 in words is "seventy-nine billion, one hundred million, nine hundred fifty-eight thousand, seven hundred twenty".