812364800 has 132 divisors (see below), whose sum is σ = 2169467916. Its totient is φ = 299827200.

The previous prime is 812364799. The next prime is 812364809. The reversal of 812364800 is 8463218.

It can be written as a sum of positive squares in 6 ways, for example, as 237899776 + 574465024 = 15424^2 + 23968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812364809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331580 + ... + 334020.

It is an arithmetic number, because the mean of its divisors is an integer number (16435363).

Almost surely, 2^812364800 is an apocalyptic number.

812364800 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 812364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084733958).

812364800 is an abundant number, since it is smaller than the sum of its proper divisors (1357103116).

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

812364800 is a wasteful number, since it uses less digits than its factorization.

812364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 812364800 is about 28502.0139639289. The cubic root of 812364800 is about 933.0760288452.

The spelling of 812364800 in words is "eight hundred twelve million, three hundred sixty-four thousand, eight hundred".