813802400 has 72 divisors (see below), whose sum is σ = 1993583340. Its totient is φ = 324392960.

The previous prime is 813802397. The next prime is 813802459. The reversal of 813802400 is 4208318.

It can be written as a sum of positive squares in 6 ways, for example, as 124634896 + 689167504 = 11164^2 + 26252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 813802400.

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, 251996 + ... + 255204.

Almost surely, 2^813802400 is an apocalyptic number.

813802400 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 813802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996791670).

813802400 is an abundant number, since it is smaller than the sum of its proper divisors (1179780940).

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

813802400 is a wasteful number, since it uses less digits than its factorization.

813802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 813802400 is about 28527.2220869821. Note that the first 3 decimals coincide. The cubic root of 813802400 is about 933.6261099636.

The spelling of 813802400 in words is "eight hundred thirteen million, eight hundred two thousand, four hundred".