879869952 has 360 divisors, whose sum is σ = 3005651376. Its totient is φ = 254803968.

The previous prime is 879869951. The next prime is 879869971. The reversal of 879869952 is 259968978.

It is a super-2 number, since 2×879869952² = 1548342264864964608, which contains 22 as substring.

Its product of digits (19595520) is a multiple of the sum of its prime divisors (35).

It is a self number, because there is not a number n which added to its sum of digits gives 879869952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879869951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51757048 + ... + 51757064.

Almost surely, 2^879869952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502825688).

879869952 is an abundant number, since it is smaller than the sum of its proper divisors (2125781424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

879869952 is an equidigital number, since it uses as much as digits as its factorization.

879869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 879869952 is about 29662.6019088009. The cubic root of 879869952 is about 958.2367634378.

The spelling of 879869952 in words is "eight hundred seventy-nine million, eight hundred sixty-nine thousand, nine hundred fifty-two".