79007920992 has 960 divisors, whose sum is σ = 320801209344. Its totient is φ = 18408591360.

The previous prime is 79007920897. The next prime is 79007920997. The reversal of 79007920992 is 29902970097.

It is a super-2 number, since 2×79007920992² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79007920997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95999493 + ... + 96000315.

Almost surely, 2^79007920992 is an apocalyptic number.

79007920992 is a gapful number since it is divisible by the number (72) 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 79007920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160400604672).

79007920992 is an abundant number, since it is smaller than the sum of its proper divisors (241793288352).

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

79007920992 is a wasteful number, since it uses less digits than its factorization.

79007920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

It can be divided in two parts, 79007 and 920992, that added together give a palindrome (999999).

The spelling of 79007920992 in words is "seventy-nine billion, seven million, nine hundred twenty thousand, nine hundred ninety-two".