878700 has 72 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 224000.

The previous prime is 878699. The next prime is 878719. The reversal of 878700 is 7878.

878700 = 73² + 74² + ... + 144².

It is a happy number.

878700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×878700² = 1544227380000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8650 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (36890).

2⁸⁷⁸⁷⁰⁰ 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 878700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040).

878700 is an abundant number, since it is smaller than the sum of its proper divisors (1777380).

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

878700 is a wasteful number, since it uses less digits than its factorization.

878700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 878700 is about 937.3899935459. The cubic root of 878700 is about 95.7811856597.

It can be divided in two parts, 87 and 8700, that multiplied together give a square (756900 = 870²).

The spelling of 878700 in words is "eight hundred seventy-eight thousand, seven hundred".