879100 has 36 divisors (see below), whose sum is σ = 1953000. Its totient is φ = 343360.

The previous prime is 879097. The next prime is 879103. The reversal of 879100 is 1978.

It is an interprime number because it is at equal distance from previous prime (879097) and next prime (879103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5826 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (54250).

2⁸⁷⁹¹⁰⁰ 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 879100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976500).

879100 is an abundant number, since it is smaller than the sum of its proper divisors (1073900).

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

879100 is a wasteful number, since it uses less digits than its factorization.

879100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 879100 is about 937.6033276391. The cubic root of 879100 is about 95.7957172261.

It can be divided in two parts, 879 and 100, that added together give a palindrome (979).

The spelling of 879100 in words is "eight hundred seventy-nine thousand, one hundred".