792315027504 has 480 divisors, whose sum is σ = 2983309056000. Its totient is φ = 189574871040.

The previous prime is 792315027409. The next prime is 792315027551. The reversal of 792315027504 is 405720513297.

It is a happy number.

792315027504 is a `hidden beast` number, since 7 + 92 + 3 + 1 + 50 + 2 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 792315027504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73363897 + ... + 73374695.

It is an arithmetic number, because the mean of its divisors is an integer number (6215227200).

Almost surely, 2^792315027504 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 792315027504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491654528000).

792315027504 is an abundant number, since it is smaller than the sum of its proper divisors (2190994028496).

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

792315027504 is a wasteful number, since it uses less digits than its factorization.

792315027504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11353 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 792315027504 in words is "seven hundred ninety-two billion, three hundred fifteen million, twenty-seven thousand, five hundred four".