79339921920 has 720 divisors, whose sum is σ = 330094372608. Its totient is φ = 17542103040.

The previous prime is 79339921907. The next prime is 79339921957. The reversal of 79339921920 is 2912993397.

79339921920 is a `hidden beast` number, since 79 + 339 + 9 + 219 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34996627 + ... + 34998893.

Almost surely, 2^79339921920 is an apocalyptic number.

79339921920 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 79339921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165047186304).

79339921920 is an abundant number, since it is smaller than the sum of its proper divisors (250754450688).

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

79339921920 is a wasteful number, since it uses less digits than its factorization.

79339921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 79339921920 in words is "seventy-nine billion, three hundred thirty-nine million, nine hundred twenty-one thousand, nine hundred twenty".