813353200 has 240 divisors, whose sum is σ = 2258426880. Its totient is φ = 278784000.

The previous prime is 813353147. The next prime is 813353239. The reversal of 813353200 is 2353318.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9138756 + ... + 9138844.

It is an arithmetic number, because the mean of its divisors is an integer number (9410112).

Almost surely, 2^813353200 is an apocalyptic number.

813353200 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 813353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129213440).

813353200 is an abundant number, since it is smaller than the sum of its proper divisors (1445073680).

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

813353200 is a wasteful number, since it uses less digits than its factorization.

813353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 813353200 is about 28519.3478186301. The cubic root of 813353200 is about 933.4542983806.

The spelling of 813353200 in words is "eight hundred thirteen million, three hundred fifty-three thousand, two hundred".