792540252 has 72 divisors (see below), whose sum is σ = 2299315200. Its totient is φ = 225475488.

The previous prime is 792540241. The next prime is 792540257. The reversal of 792540252 is 252045297.

It is a happy number.

792540252 is a `hidden beast` number, since 7 + 92 + 540 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792540257) 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 23 ways as a sum of consecutive naturals, for example, 53649 + ... + 66807.

Almost surely, 2^792540252 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 792540252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149657600).

792540252 is an abundant number, since it is smaller than the sum of its proper divisors (1506774948).

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

792540252 is a wasteful number, since it uses less digits than its factorization.

792540252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13415 (or 13410 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 792540252 is about 28152.0914320766. The cubic root of 792540252 is about 925.4233278310.

The spelling of 792540252 in words is "seven hundred ninety-two million, five hundred forty thousand, two hundred fifty-two".