79763814789120 has 4992 divisors, whose sum is σ = 379509658214400. Its totient is φ = 15695924428800.

The previous prime is 79763814789101. The next prime is 79763814789133. The reversal of 79763814789120 is 2198741836797.

79763814789120 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 381 + 47 + 89 + 120 = 666.

It is a super-2 number, since 2×79763814789120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 822307368912 + ... + 822307369008.

Almost surely, 2^{79763814789120} is an apocalyptic number.

79763814789120 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 79763814789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189754829107200).

79763814789120 is an abundant number, since it is smaller than the sum of its proper divisors (299745843425280).

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

79763814789120 is a wasteful number, since it uses less digits than its factorization.

79763814789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 79763814789120 in words is "seventy-nine trillion, seven hundred sixty-three billion, eight hundred fourteen million, seven hundred eighty-nine thousand, one hundred twenty".