813400 has 72 divisors (see below), whose sum is σ = 2226420. Its totient is φ = 275520.

The previous prime is 813383. The next prime is 813401. The reversal of 813400 is 4318.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9759 + ... + 9841.

2⁸¹³⁴⁰⁰ 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 813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113210).

813400 is an abundant number, since it is smaller than the sum of its proper divisors (1413020).

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

813400 is a wasteful number, since it uses less digits than its factorization.

813400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 813400 is about 901.8869108708. The cubic root of 813400 is about 93.3472201559.

Adding to 813400 its reverse (4318), we get a palindrome (817718).

It can be divided in two parts, 81 and 3400, that added together give a square (3481 = 59²).

The spelling of 813400 in words is "eight hundred thirteen thousand, four hundred".