792004512 has 192 divisors, whose sum is σ = 2384363520. Its totient is φ = 228178944.

The previous prime is 792004511. The next prime is 792004519. The reversal of 792004512 is 215400297.

It is a super-2 number, since 2×792004512² = 1254542294056716288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 792004512.

It is not an unprimeable number, because it can be changed into a prime (792004511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3011293 + ... + 3011555.

It is an arithmetic number, because the mean of its divisors is an integer number (12418560).

Almost surely, 2^792004512 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 792004512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192181760).

792004512 is an abundant number, since it is smaller than the sum of its proper divisors (1592359008).

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

792004512 is a wasteful number, since it uses less digits than its factorization.

792004512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 792004512 is about 28142.5747222958. The cubic root of 792004512 is about 925.2147588034.

The spelling of 792004512 in words is "seven hundred ninety-two million, four thousand, five hundred twelve".