813321600 has 768 divisors, whose sum is σ = 3541440000. Its totient is φ = 162570240.

The previous prime is 813321571. The next prime is 813321629. The reversal of 813321600 is 6123318.

It is an interprime number because it is at equal distance from previous prime (813321571) and next prime (813321629).

It is a super-2 number, since 2×813321600² = 1322984050053120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42806391 + ... + 42806409.

It is an arithmetic number, because the mean of its divisors is an integer number (4611250).

Almost surely, 2^813321600 is an apocalyptic number.

813321600 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 813321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720000).

813321600 is an abundant number, since it is smaller than the sum of its proper divisors (2728118400).

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

813321600 is a wasteful number, since it uses less digits than its factorization.

813321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 813321600 is about 28518.7938033852. The cubic root of 813321600 is about 933.4422095210.

Adding to 813321600 its reverse (6123318), we get a palindrome (819444918).

The spelling of 813321600 in words is "eight hundred thirteen million, three hundred twenty-one thousand, six hundred".