813898800 has 960 divisors, whose sum is σ = 3719761920. Its totient is φ = 165888000.

The previous prime is 813898759. The next prime is 813898807. The reversal of 813898800 is 8898318.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (813898807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26254785 + ... + 26254815.

It is an arithmetic number, because the mean of its divisors is an integer number (3874752).

Almost surely, 2^813898800 is an apocalyptic number.

813898800 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 813898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859880960).

813898800 is an abundant number, since it is smaller than the sum of its proper divisors (2905863120).

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

813898800 is a wasteful number, since it uses less digits than its factorization.

813898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 813898800 is about 28528.9116511654. The cubic root of 813898800 is about 933.6629731315.

The spelling of 813898800 in words is "eight hundred thirteen million, eight hundred ninety-eight thousand, eight hundred".