812506780800 has 1152 divisors, whose sum is σ = 3524033822400. Its totient is φ = 175524249600.

The previous prime is 812506780727. The next prime is 812506780843. The reversal of 812506780800 is 8087605218.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119430199 + ... + 119437001.

Almost surely, 2^812506780800 is an apocalyptic number.

812506780800 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 812506780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762016911200).

812506780800 is an abundant number, since it is smaller than the sum of its proper divisors (2711527041600).

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

812506780800 is a wasteful number, since it uses less digits than its factorization.

812506780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 812506780800 in words is "eight hundred twelve billion, five hundred six million, seven hundred eighty thousand, eight hundred".