879419025 has 45 divisors (see below), whose sum is σ = 1631463691. Its totient is φ = 468311760.

The previous prime is 879419003. The next prime is 879419041. The reversal of 879419025 is 520914978.

The square root of 879419025 is 29655.

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., 316590849 + 562828176 = 17793^2 + 23724^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 879419025 - 2¹⁵ = 879386257 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1334146 + ... + 1334804.

Almost surely, 2^879419025 is an apocalyptic number.

879419025 is the 29655-th square number.

879419025 is the 14828-th centered octagonal number.

It is an amenable number.

879419025 is a deficient number, since it is larger than the sum of its proper divisors (752044666).

879419025 is an frugal number, since it uses more digits than its factorization.

879419025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 879419025 is about 958.0730389903.

It can be divided in two parts, 879 and 419025, that added together give a square (419904 = 648²).

The spelling of 879419025 in words is "eight hundred seventy-nine million, four hundred nineteen thousand, twenty-five".