812284800 has 192 divisors, whose sum is σ = 2695541760. Its totient is φ = 214988800.

The previous prime is 812284799. The next prime is 812284807. The reversal of 812284800 is 8482218.

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

It is a super-2 number, since 2×812284800² = 1319613192622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812284807) 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, 1833379 + ... + 1833821.

It is an arithmetic number, because the mean of its divisors is an integer number (14039280).

Almost surely, 2^812284800 is an apocalyptic number.

812284800 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 812284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347770880).

812284800 is an abundant number, since it is smaller than the sum of its proper divisors (1883256960).

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

812284800 is a wasteful number, since it uses less digits than its factorization.

812284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 812284800 is about 28500.6105197766. The cubic root of 812284800 is about 933.0453987092.

The spelling of 812284800 in words is "eight hundred twelve million, two hundred eighty-four thousand, eight hundred".