793096805952 has 392 divisors, whose sum is σ = 2686092793920. Its totient is φ = 229879710720.

The previous prime is 793096805939. The next prime is 793096805953. The reversal of 793096805952 is 259508690397.

793096805952 is a `hidden beast` number, since 7 + 9 + 30 + 9 + 6 + 8 + 0 + 595 + 2 = 666.

It is a super-2 number, since 2×793096805952² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 793096805952.

It is not an unprimeable number, because it can be changed into a prime (793096805953) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11770374 + ... + 11837562.

Almost surely, 2^793096805952 is an apocalyptic number.

793096805952 is a gapful number since it is divisible by the number (72) 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 793096805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343046396960).

793096805952 is an abundant number, since it is smaller than the sum of its proper divisors (1892995987968).

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

793096805952 is a wasteful number, since it uses less digits than its factorization.

793096805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67253 (or 67228 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 793096805952 in words is "seven hundred ninety-three billion, ninety-six million, eight hundred five thousand, nine hundred fifty-two".