876400 has 60 divisors (see below), whose sum is σ = 2414032. Its totient is φ = 299520.

The previous prime is 876373. The next prime is 876431. The reversal of 876400 is 4678.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2644 + ... + 2956.

2⁸⁷⁶⁴⁰⁰ is an apocalyptic number.

876400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207016).

876400 is an abundant number, since it is smaller than the sum of its proper divisors (1537632).

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

876400 is a wasteful number, since it uses less digits than its factorization.

876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 876400 is about 936.1623790775. The cubic root of 876400 is about 95.6975434549.

The spelling of 876400 in words is "eight hundred seventy-six thousand, four hundred".