792726264 has 144 divisors (see below), whose sum is σ = 2433876120. Its totient is φ = 240045120.

The previous prime is 792726241. The next prime is 792726283. The reversal of 792726264 is 462627297.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576682 + ... + 578054.

Almost surely, 2^792726264 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 792726264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216938060).

792726264 is an abundant number, since it is smaller than the sum of its proper divisors (1641149856).

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

792726264 is a wasteful number, since it uses less digits than its factorization.

792726264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1389 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 792726264 is about 28155.3949359621. The cubic root of 792726264 is about 925.4957222102.

It can be divided in two parts, 7927 and 26264, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 792726264 in words is "seven hundred ninety-two million, seven hundred twenty-six thousand, two hundred sixty-four".