792533331072 has 320 divisors, whose sum is σ = 2697151564800. Its totient is φ = 226299764736.

The previous prime is 792533331071. The next prime is 792533331089. The reversal of 792533331072 is 270133335297.

792533331072 is a `hidden beast` number, since 7 + 9 + 2 + 533 + 3 + 3 + 107 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (792533331071) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 208944408 + ... + 208948200.

It is an arithmetic number, because the mean of its divisors is an integer number (8428598640).

Almost surely, 2^792533331072 is an apocalyptic number.

792533331072 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 792533331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348575782400).

792533331072 is an abundant number, since it is smaller than the sum of its proper divisors (1904618233728).

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

792533331072 is a wasteful number, since it uses less digits than its factorization.

792533331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 792533331072 in words is "seven hundred ninety-two billion, five hundred thirty-three million, three hundred thirty-one thousand, seventy-two".