79762881600 has 336 divisors, whose sum is σ = 306071828800. Its totient is φ = 20150415360.

The previous prime is 79762881577. The next prime is 79762881631. The reversal of 79762881600 is 618826797.

79762881600 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 28 + 8 + 1 + 600 = 666.

It is a super-2 number, since 2×79762881600² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772212 + ... + 869388.

Almost surely, 2^79762881600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79762881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153035914400).

79762881600 is an abundant number, since it is smaller than the sum of its proper divisors (226308947200).

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

79762881600 is a wasteful number, since it uses less digits than its factorization.

79762881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97227 (or 97206 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 79762881600 in words is "seventy-nine billion, seven hundred sixty-two million, eight hundred eighty-one thousand, six hundred".