827800 has 24 divisors (see below), whose sum is σ = 1925100. Its totient is φ = 331040.

The previous prime is 827791. The next prime is 827803. The reversal of 827800 is 8728.

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 (827803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1870 + ... + 2269.

2⁸²⁷⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

827800 is an abundant number, since it is smaller than the sum of its proper divisors (1097300).

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

827800 is a wasteful number, since it uses less digits than its factorization.

827800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 827800 is about 909.8351499035. The cubic root of 827800 is about 93.8948575400.

The spelling of 827800 in words is "eight hundred twenty-seven thousand, eight hundred".