79792116768 has 768 divisors, whose sum is σ = 295661076480. Its totient is φ = 20379340800.

The previous prime is 79792116727. The next prime is 79792116779. The reversal of 79792116768 is 86761129797.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 609100063 + ... + 609100193.

It is an arithmetic number, because the mean of its divisors is an integer number (384975360).

Almost surely, 2^79792116768 is an apocalyptic number.

79792116768 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 79792116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147830538240).

79792116768 is an abundant number, since it is smaller than the sum of its proper divisors (215868959712).

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

79792116768 is a wasteful number, since it uses less digits than its factorization.

79792116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The spelling of 79792116768 in words is "seventy-nine billion, seven hundred ninety-two million, one hundred sixteen thousand, seven hundred sixty-eight".