812304000 has 192 divisors, whose sum is σ = 2917703880. Its totient is φ = 216576000.

The previous prime is 812303993. The next prime is 812304011. The reversal of 812304000 is 403218.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 507871296 + 304432704 = 22536^2 + 17448^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 141180 + ... + 146820.

Almost surely, 2^812304000 is an apocalyptic number.

812304000 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 812304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458851940).

812304000 is an abundant number, since it is smaller than the sum of its proper divisors (2105399880).

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

812304000 is a wasteful number, since it uses less digits than its factorization.

812304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 812304000 is about 28500.9473526758. The cubic root of 812304000 is about 933.0527501253.

Adding to 812304000 its reverse (403218), we get a palindrome (812707218).

The spelling of 812304000 in words is "eight hundred twelve million, three hundred four thousand".