792939970560 has 480 divisors, whose sum is σ = 2738039879232. Its totient is φ = 195202908160.

The previous prime is 792939970531. The next prime is 792939970579. The reversal of 792939970560 is 65079939297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 792939970491 and 792939970500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221427970 + ... + 221431550.

Almost surely, 2^792939970560 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 792939970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369019939616).

792939970560 is an abundant number, since it is smaller than the sum of its proper divisors (1945099908672).

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

792939970560 is a wasteful number, since it uses less digits than its factorization.

792939970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 57868020, while the sum is 66.

The spelling of 792939970560 in words is "seven hundred ninety-two billion, nine hundred thirty-nine million, nine hundred seventy thousand, five hundred sixty".