793830625 has 75 divisors (see below), whose sum is σ = 1209732293. Its totient is φ = 520674000.

The previous prime is 793830619. The next prime is 793830629. The reversal of 793830625 is 526038397.

The square root of 793830625 is 28175.

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

793830625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62236321 + 731594304 = 7889^2 + 27048^2 .

It is not a de Polignac number, because 793830625 - 2³ = 793830617 is a prime.

It is a super-2 number, since 2×793830625² = 1260334122375781250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (793830629) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 34514364 + ... + 34514386.

Almost surely, 2^793830625 is an apocalyptic number.

793830625 is the 28175-th square number.

793830625 is the 14088-th centered octagonal number.

It is an amenable number.

793830625 is a deficient number, since it is larger than the sum of its proper divisors (415901668).

793830625 is an frugal number, since it uses more digits than its factorization.

793830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The cubic root of 793830625 is about 925.9252976169.

The spelling of 793830625 in words is "seven hundred ninety-three million, eight hundred thirty thousand, six hundred twenty-five".