813345600 has 168 divisors, whose sum is σ = 2760939360. Its totient is φ = 209377280.

The previous prime is 813345587. The next prime is 813345607. The reversal of 813345600 is 6543318.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813345607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136279 + ... + 142121.

Almost surely, 2^813345600 is an apocalyptic number.

813345600 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 813345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380469680).

813345600 is an abundant number, since it is smaller than the sum of its proper divisors (1947593760).

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

813345600 is a wasteful number, since it uses less digits than its factorization.

813345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 813345600 is about 28519.2145754402. The cubic root of 813345600 is about 933.4513909619.

Adding to 813345600 its reverse (6543318), we get a palindrome (819888918).

The spelling of 813345600 in words is "eight hundred thirteen million, three hundred forty-five thousand, six hundred".