812072800000 has 432 divisors, whose sum is σ = 2526222311424. Its totient is φ = 253094400000.

The previous prime is 812072799997. The next prime is 812072800001. The reversal of 812072800000 is 8270218.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812072800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61593409 + ... + 61606591.

It is an arithmetic number, because the mean of its divisors is an integer number (5847736832).

Almost surely, 2^812072800000 is an apocalyptic number.

812072800000 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 812072800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263111155712).

812072800000 is an abundant number, since it is smaller than the sum of its proper divisors (1714149511424).

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

812072800000 is an equidigital number, since it uses as much as digits as its factorization.

812072800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 812072800000 in words is "eight hundred twelve billion, seventy-two million, eight hundred thousand".