79620075360 has 768 divisors, whose sum is σ = 332078745600. Its totient is φ = 17432174592.

The previous prime is 79620075349. The next prime is 79620075391. The reversal of 79620075360 is 6357002697.

79620075360 is a `hidden beast` number, since 7 + 96 + 20 + 0 + 7 + 536 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142944202 + ... + 142944758.

It is an arithmetic number, because the mean of its divisors is an integer number (432394200).

Almost surely, 2^79620075360 is an apocalyptic number.

79620075360 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 79620075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166039372800).

79620075360 is an abundant number, since it is smaller than the sum of its proper divisors (252458670240).

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

79620075360 is a wasteful number, since it uses less digits than its factorization.

79620075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 79620075360 in words is "seventy-nine billion, six hundred twenty million, seventy-five thousand, three hundred sixty".