813844800 has 168 divisors, whose sum is σ = 2966923200. Its totient is φ = 217013760.

The previous prime is 813844781. The next prime is 813844831. The reversal of 813844800 is 8448318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33781 + ... + 52619.

Almost surely, 2^813844800 is an apocalyptic number.

813844800 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 813844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483461600).

813844800 is an abundant number, since it is smaller than the sum of its proper divisors (2153078400).

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

813844800 is a wasteful number, since it uses less digits than its factorization.

813844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18870 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 813844800 is about 28527.9652271241. The cubic root of 813844800 is about 933.6423239977.

The spelling of 813844800 in words is "eight hundred thirteen million, eight hundred forty-four thousand, eight hundred".