878600 has 48 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 334400.

The previous prime is 878597. The next prime is 878609. The reversal of 878600 is 6878.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 878600.

It is not an unprimeable number, because it can be changed into a prime (878609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4505 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁸⁷⁸⁶⁰⁰ 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 878600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

878600 is an abundant number, since it is smaller than the sum of its proper divisors (1264120).

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

878600 is a wasteful number, since it uses less digits than its factorization.

878600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 878600 is about 937.3366524360. The cubic root of 878600 is about 95.7775520790. Note that the first 3 decimals are identical.

The spelling of 878600 in words is "eight hundred seventy-eight thousand, six hundred".