79765182072576 has 5760 divisors, whose sum is σ = 357804849024000. Its totient is φ = 17206434201600.

The previous prime is 79765182072571. The next prime is 79765182072601. The reversal of 79765182072576 is 67527028156797.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79765182072571) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1307625935586 + ... + 1307625935646.

It is an arithmetic number, because the mean of its divisors is an integer number (62118897400).

Almost surely, 2^{79765182072576} is an apocalyptic number.

79765182072576 is a gapful number since it is divisible by the number (76) 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 79765182072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902424512000).

79765182072576 is an abundant number, since it is smaller than the sum of its proper divisors (278039666951424).

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

79765182072576 is a wasteful number, since it uses less digits than its factorization.

79765182072576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 79765182072576 in words is "seventy-nine trillion, seven hundred sixty-five billion, one hundred eighty-two million, seventy-two thousand, five hundred seventy-six".