879134400 has 126 divisors (see below), whose sum is σ = 3124702412. Its totient is φ = 234432000.

The previous prime is 879134387. The next prime is 879134407. The reversal of 879134400 is 4431978.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (879134407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16126 + ... + 44925.

Almost surely, 2^879134400 is an apocalyptic number.

879134400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

879134400 is an abundant number, since it is smaller than the sum of its proper divisors (2245568012).

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

879134400 is a wasteful number, since it uses less digits than its factorization.

879134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61079 (or 61061 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 879134400 is about 29650.2006738572. The cubic root of 879134400 is about 957.9696673494.

The spelling of 879134400 in words is "eight hundred seventy-nine million, one hundred thirty-four thousand, four hundred".