879865200 has 240 divisors, whose sum is σ = 3153771360. Its totient is φ = 232980480.

The previous prime is 879865187. The next prime is 879865241. The reversal of 879865200 is 2568978.

879865200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2775442 + ... + 2775758.

It is an arithmetic number, because the mean of its divisors is an integer number (13140714).

Almost surely, 2^879865200 is an apocalyptic number.

879865200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576885680).

879865200 is an abundant number, since it is smaller than the sum of its proper divisors (2273906160).

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

879865200 is a wasteful number, since it uses less digits than its factorization.

879865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 879865200 is about 29662.5218078302. The cubic root of 879865200 is about 958.2350383536.

The spelling of 879865200 in words is "eight hundred seventy-nine million, eight hundred sixty-five thousand, two hundred".