812944800000 has 324 divisors, whose sum is σ = 2929738773780. Its totient is φ = 216783360000.

The previous prime is 812944799977. The next prime is 812944800067. The reversal of 812944800000 is 8449218.

It can be written as a sum of positive squares in 6 ways, for example, as 757150580736 + 55794219264 = 870144^2 + 236208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7143546 + ... + 7256454.

Almost surely, 2^812944800000 is an apocalyptic number.

812944800000 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 812944800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464869386890).

812944800000 is an abundant number, since it is smaller than the sum of its proper divisors (2116793973780).

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

812944800000 is an equidigital number, since it uses as much as digits as its factorization.

812944800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112956 (or 112919 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 812944800000 in words is "eight hundred twelve billion, nine hundred forty-four million, eight hundred thousand".