792253609 has 9 divisors (see below), whose sum is σ = 921830391. Its totient is φ = 678905640.

The previous prime is 792253591. The next prime is 792253687. The reversal of 792253609 is 906352297.

The square root of 792253609 is 28147.

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., 46963609 + 745290000 = 6853^2 + 27300^2 .

It is not a de Polignac number, because 792253609 - 2⁷ = 792253481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (792253309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195019 + ... + 199039.

It is an arithmetic number, because the mean of its divisors is an integer number (102425599).

Almost surely, 2^792253609 is an apocalyptic number.

792253609 is the 28147-th square number.

792253609 is the 14074-th centered octagonal number.

It is an amenable number.

792253609 is a deficient number, since it is larger than the sum of its proper divisors (129576782).

792253609 is an frugal number, since it uses more digits than its factorization.

792253609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The cubic root of 792253609 is about 925.3117464929.

The spelling of 792253609 in words is "seven hundred ninety-two million, two hundred fifty-three thousand, six hundred nine".