813300 has 36 divisors (see below), whose sum is σ = 2354016. Its totient is φ = 216800.

The previous prime is 813299. The next prime is 813301. The reversal of 813300 is 3318.

813300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813299) and next prime (813301).

It is a super-2 number, since 2×813300² = 1322913780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 813300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 1655.

2⁸¹³³⁰⁰ is an apocalyptic number.

It is an amenable number.

813300 is an abundant number, since it is smaller than the sum of its proper divisors (1540716).

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

813300 is a wasteful number, since it uses less digits than its factorization.

813300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 813300 is about 901.8314698435. The cubic root of 813300 is about 93.3433946070.

Adding to 813300 its reverse (3318), we get a palindrome (816618).

The spelling of 813300 in words is "eight hundred thirteen thousand, three hundred".