79024789831680 has 1200 divisors, whose sum is σ = 353219770987776. Its totient is φ = 16420629381120.

The previous prime is 79024789831667. The next prime is 79024789831681. The reversal of 79024789831680 is 8613898742097.

79024789831680 is a `hidden beast` number, since 7 + 9 + 0 + 2 + 478 + 98 + 3 + 1 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79024789831599 and 79024789831608.

It is not an unprimeable number, because it can be changed into a prime (79024789831681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 510857707 + ... + 511012373.

Almost surely, 2^{79024789831680} is an apocalyptic number.

79024789831680 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 79024789831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176609885493888).

79024789831680 is an abundant number, since it is smaller than the sum of its proper divisors (274194981156096).

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

79024789831680 is a wasteful number, since it uses less digits than its factorization.

79024789831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154730 (or 154695 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 79024789831680 in words is "seventy-nine trillion, twenty-four billion, seven hundred eighty-nine million, eight hundred thirty-one thousand, six hundred eighty".