813800 has 48 divisors (see below), whose sum is σ = 2044140. Its totient is φ = 299520.

The previous prime is 813797. The next prime is 813811. The reversal of 813800 is 8318.

813800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7396 + 806404 = 86^2 + 898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

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, 2444 + ... + 2756.

2⁸¹³⁸⁰⁰ 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 813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022070).

813800 is an abundant number, since it is smaller than the sum of its proper divisors (1230340).

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

813800 is a wasteful number, since it uses less digits than its factorization.

813800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 813800 is about 902.1086409075. The cubic root of 813800 is about 93.3625192171.

The spelling of 813800 in words is "eight hundred thirteen thousand, eight hundred".