879846864 has 80 divisors (see below), whose sum is σ = 2451926400. Its totient is φ = 270263808.

The previous prime is 879846857. The next prime is 879846871. The reversal of 879846864 is 468648978.

It is an interprime number because it is at equal distance from previous prime (879846857) and next prime (879846871).

It is a junction number, because it is equal to n+sod(n) for n = 879846798 and 879846807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666397 + ... + 667715.

It is an arithmetic number, because the mean of its divisors is an integer number (30649080).

Almost surely, 2^879846864 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 879846864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225963200).

879846864 is an abundant number, since it is smaller than the sum of its proper divisors (1572079536).

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

879846864 is a wasteful number, since it uses less digits than its factorization.

879846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 879846864 is about 29662.2127293296. The cubic root of 879846864 is about 958.2283819098.

The spelling of 879846864 in words is "eight hundred seventy-nine million, eight hundred forty-six thousand, eight hundred sixty-four".