793152391680 has 960 divisors, whose sum is σ = 3340240675200. Its totient is φ = 171426447360.

The previous prime is 793152391649. The next prime is 793152391709. The reversal of 793152391680 is 86193251397.

793152391680 is a `hidden beast` number, since 7 + 9 + 31 + 523 + 9 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 81856276 + ... + 81865964.

It is an arithmetic number, because the mean of its divisors is an integer number (3479417370).

Almost surely, 2^793152391680 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 793152391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670120337600).

793152391680 is an abundant number, since it is smaller than the sum of its proper divisors (2547088283520).

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

793152391680 is a wasteful number, since it uses less digits than its factorization.

793152391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 793152391680 in words is "seven hundred ninety-three billion, one hundred fifty-two million, three hundred ninety-one thousand, six hundred eighty".