792985600 has 171 divisors, whose sum is σ = 2161635301. Its totient is φ = 288358400.

The previous prime is 792985561. The next prime is 792985607. The reversal of 792985600 is 6589297.

The square root of 792985600 is 28160.

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

It can be written as a sum of positive squares in only one way, i.e., 285474816 + 507510784 = 16896^2 + 22528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (792985607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72089595 + ... + 72089605.

Almost surely, 2^792985600 is an apocalyptic number.

792985600 is the 28160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792985600

792985600 is an abundant number, since it is smaller than the sum of its proper divisors (1368649701).

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

792985600 is an frugal number, since it uses more digits than its factorization.

792985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The cubic root of 792985600 is about 925.5966348039.

The spelling of 792985600 in words is "seven hundred ninety-two million, nine hundred eighty-five thousand, six hundred".