879676200 has 240 divisors, whose sum is σ = 3291052380. Its totient is φ = 216483840.

The previous prime is 879676177. The next prime is 879676223. The reversal of 879676200 is 2676978.

It is a happy number.

879676200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (879676177) and next prime (879676223).

It can be written as a sum of positive squares in 6 ways, for example, as 366109956 + 513566244 = 19134^2 + 22662^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 208512 + ... + 212688.

Almost surely, 2^879676200 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 879676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645526190).

879676200 is an abundant number, since it is smaller than the sum of its proper divisors (2411376180).

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

879676200 is a wasteful number, since it uses less digits than its factorization.

879676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 879676200 is about 29659.3357983620. The cubic root of 879676200 is about 958.1664220127.

The spelling of 879676200 in words is "eight hundred seventy-nine million, six hundred seventy-six thousand, two hundred".