879515730625 has 135 divisors (see below), whose sum is σ = 1342241816223. Its totient is φ = 574399056000.

The previous prime is 879515730623. The next prime is 879515730679. The reversal of 879515730625 is 526037515978.

It is a happy number.

The square root of 879515730625 is 937825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 850170670209 + 29345060416 = 922047^2 + 171304^2 .

It is not a de Polignac number, because 879515730625 - 2¹ = 879515730623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 879515730625.

It is not an unprimeable number, because it can be changed into a prime (879515730623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3774745509 + ... + 3774745741.

Almost surely, 2^879515730625 is an apocalyptic number.

879515730625 is the 937825-th square number.

879515730625 is the 468913-rd centered octagonal number.

It is an amenable number.

879515730625 is a deficient number, since it is larger than the sum of its proper divisors (462726085598).

879515730625 is an frugal number, since it uses more digits than its factorization.

879515730625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 58.

The spelling of 879515730625 in words is "eight hundred seventy-nine billion, five hundred fifteen million, seven hundred thirty thousand, six hundred twenty-five".