79939307775600 has 5760 divisors, whose sum is σ = 393897988915200. Its totient is φ = 15209258803200.

The previous prime is 79939307775583. The next prime is 79939307775619. The reversal of 79939307775600 is 657770393997.

79939307775600 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 9 + 3 + 0 + 7 + 7 + 7 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 210921656211 + ... + 210921656589.

It is an arithmetic number, because the mean of its divisors is an integer number (68385067520).

Almost surely, 2^{79939307775600} is an apocalyptic number.

79939307775600 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 79939307775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196948994457600).

79939307775600 is an abundant number, since it is smaller than the sum of its proper divisors (313958681139600).

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

79939307775600 is a wasteful number, since it uses less digits than its factorization.

79939307775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 472588830, while the sum is 72.

The spelling of 79939307775600 in words is "seventy-nine trillion, nine hundred thirty-nine billion, three hundred seven million, seven hundred seventy-five thousand, six hundred".