812643300 has 576 divisors, whose sum is σ = 3288678400. Its totient is φ = 167961600.

The previous prime is 812643277. The next prime is 812643343. The reversal of 812643300 is 3346218.

It is a happy number.

812643300 is a `hidden beast` number, since 8 + 12 + 643 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11132064 + ... + 11132136.

Almost surely, 2^812643300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812643300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644339200).

812643300 is an abundant number, since it is smaller than the sum of its proper divisors (2476035100).

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

812643300 is a wasteful number, since it uses less digits than its factorization.

812643300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 812643300 is about 28506.8991649390. The cubic root of 812643300 is about 933.1826443230.

Adding to 812643300 its reverse (3346218), we get a palindrome (815989518).

The spelling of 812643300 in words is "eight hundred twelve million, six hundred forty-three thousand, three hundred".