76792365 has 48 divisors (see below), whose sum is σ = 144471600. Its totient is φ = 37509120.

The previous prime is 76792343. The next prime is 76792369. The reversal of 76792365 is 56329767.

It can be written as a sum of positive squares in 8 ways, for example, as 28933641 + 47858724 = 5379^2 + 6918^2 .

It is not a de Polignac number, because 76792365 - 2¹⁴ = 76775981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76792365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76792369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86725 + ... + 87605.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2^76792365 is an apocalyptic number.

It is an amenable number.

76792365 is a deficient number, since it is larger than the sum of its proper divisors (67679235).

76792365 is a wasteful number, since it uses less digits than its factorization.

76792365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 76792365 is about 8763.1252986591. The cubic root of 76792365 is about 425.0493414455.

The spelling of 76792365 in words is "seventy-six million, seven hundred ninety-two thousand, three hundred sixty-five".