813136800 has 288 divisors, whose sum is σ = 3131049600. Its totient is φ = 179343360.

The previous prime is 813136799. The next prime is 813136817. The reversal of 813136800 is 8631318.

It is a super-2 number, since 2×813136800² = 1322382911028480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486366 + ... + 488034.

It is an arithmetic number, because the mean of its divisors is an integer number (10871700).

Almost surely, 2^813136800 is an apocalyptic number.

813136800 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 813136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565524800).

813136800 is an abundant number, since it is smaller than the sum of its proper divisors (2317912800).

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

813136800 is a wasteful number, since it uses less digits than its factorization.

813136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 813136800 is about 28515.5536505957. The cubic root of 813136800 is about 933.3715063752.

The spelling of 813136800 in words is "eight hundred thirteen million, one hundred thirty-six thousand, eight hundred".