812284200 has 960 divisors, whose sum is σ = 3781008000. Its totient is φ = 156764160.

The previous prime is 812284189. The next prime is 812284303. The reversal of 812284200 is 2482218.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 28009786 + ... + 28009814.

It is an arithmetic number, because the mean of its divisors is an integer number (3938550).

Almost surely, 2^812284200 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 812284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504000).

812284200 is an abundant number, since it is smaller than the sum of its proper divisors (2968723800).

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

812284200 is a wasteful number, since it uses less digits than its factorization.

812284200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 812284200 is about 28500.5999936843. The cubic root of 812284200 is about 933.0451689756.

The spelling of 812284200 in words is "eight hundred twelve million, two hundred eighty-four thousand, two hundred".