79213377600 has 672 divisors, whose sum is σ = 338115859200. Its totient is φ = 17661542400.

The previous prime is 79213377587. The next prime is 79213377613. The reversal of 79213377600 is 677331297.

79213377600 is a `hidden beast` number, since 7 + 9 + 2 + 1 + 3 + 37 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (79213377587) and next prime (79213377613).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12395206 + ... + 12401594.

It is an arithmetic number, because the mean of its divisors is an integer number (503148600).

Almost surely, 2^79213377600 is an apocalyptic number.

79213377600 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 79213377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169057929600).

79213377600 is an abundant number, since it is smaller than the sum of its proper divisors (258902481600).

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

79213377600 is a wasteful number, since it uses less digits than its factorization.

79213377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 79213377600 in words is "seventy-nine billion, two hundred thirteen million, three hundred seventy-seven thousand, six hundred".