792263768464 has 135 divisors (see below), whose sum is σ = 1812129231243. Its totient is φ = 334574901696.

The previous prime is 792263768453. The next prime is 792263768477. The reversal of 792263768464 is 464867362297.

The square root of 792263768464 is 890092.

It is a perfect power (a square), and thus also a powerful number.

792263768464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×792263768464³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 792263768396 and 792263768405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2068573617 + ... + 2068573999.

Almost surely, 2^792263768464 is an apocalyptic number.

792263768464 is the 890092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792263768464

792263768464 is an abundant number, since it is smaller than the sum of its proper divisors (1019865462779).

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

792263768464 is an frugal number, since it uses more digits than its factorization.

792263768464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 475 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

Multiplying 792263768464 by its sum of digits (64), we get a square (50704881181696 = 7120736²).

The spelling of 792263768464 in words is "seven hundred ninety-two billion, two hundred sixty-three million, seven hundred sixty-eight thousand, four hundred sixty-four".