813040200 has 384 divisors, whose sum is σ = 3244435200. Its totient is φ = 183306240.

The previous prime is 813040177. The next prime is 813040213. The reversal of 813040200 is 2040318.

It is a happy number.

It is a super-2 number, since 2×813040200² = 1322068733632080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5178522 + ... + 5178678.

It is an arithmetic number, because the mean of its divisors is an integer number (8449050).

Almost surely, 2^813040200 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 813040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622217600).

813040200 is an abundant number, since it is smaller than the sum of its proper divisors (2431395000).

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

813040200 is a wasteful number, since it uses less digits than its factorization.

813040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 813040200 is about 28513.8597878295. The cubic root of 813040200 is about 933.3345436492.

Adding to 813040200 its reverse (2040318), we get a palindrome (815080518).

The spelling of 813040200 in words is "eight hundred thirteen million, forty thousand, two hundred".