812887040000 has 560 divisors, whose sum is σ = 2388286478688. Its totient is φ = 270729216000.

The previous prime is 812887039973. The next prime is 812887040047. The reversal of 812887040000 is 40788218.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1326079694 + ... + 1326080306.

Almost surely, 2^812887040000 is an apocalyptic number.

812887040000 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 812887040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194143239344).

812887040000 is an abundant number, since it is smaller than the sum of its proper divisors (1575399438688).

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

812887040000 is an frugal number, since it uses more digits than its factorization.

812887040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 812887040000 in words is "eight hundred twelve billion, eight hundred eighty-seven million, forty thousand".