79090771968 has 576 divisors, whose sum is σ = 261006520320. Its totient is φ = 22889889792.

The previous prime is 79090771939. The next prime is 79090771973. The reversal of 79090771968 is 86917709097.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 622761921 + ... + 622762047.

It is an arithmetic number, because the mean of its divisors is an integer number (453136320).

Almost surely, 2^79090771968 is an apocalyptic number.

79090771968 is a gapful number since it is divisible by the number (78) 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 79090771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130503260160).

79090771968 is an abundant number, since it is smaller than the sum of its proper divisors (181915748352).

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

79090771968 is a wasteful number, since it uses less digits than its factorization.

79090771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The spelling of 79090771968 in words is "seventy-nine billion, ninety million, seven hundred seventy-one thousand, nine hundred sixty-eight".