792778508928 has 384 divisors, whose sum is σ = 2712606474240. Its totient is φ = 217466726400.

The previous prime is 792778508891. The next prime is 792778508957. The reversal of 792778508928 is 829805877297.

792778508928 is a `hidden beast` number, since 7 + 9 + 27 + 7 + 8 + 508 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31735483 + ... + 31760453.

It is an arithmetic number, because the mean of its divisors is an integer number (7064079360).

Almost surely, 2^792778508928 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 792778508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356303237120).

792778508928 is an abundant number, since it is smaller than the sum of its proper divisors (1919827965312).

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

792778508928 is a wasteful number, since it uses less digits than its factorization.

792778508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25156 (or 25141 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 792778508928 in words is "seven hundred ninety-two billion, seven hundred seventy-eight million, five hundred eight thousand, nine hundred twenty-eight".