879268500 has 384 divisors, whose sum is σ = 3220439040. Its totient is φ = 205200000.

The previous prime is 879268483. The next prime is 879268501. The reversal of 879268500 is 5862978.

879268500 is a `hidden beast` number, since 87 + 9 + 2 + 68 + 500 = 666.

It is a super-2 number, since 2×879268500² = 1546226190184500000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879268501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4603405 + ... + 4603595.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^879268500 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 879268500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610219520).

879268500 is an abundant number, since it is smaller than the sum of its proper divisors (2341170540).

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

879268500 is a wasteful number, since it uses less digits than its factorization.

879268500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

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

The square root of 879268500 is about 29652.4619551227. The cubic root of 879268500 is about 958.0183732891.

The spelling of 879268500 in words is "eight hundred seventy-nine million, two hundred sixty-eight thousand, five hundred".