812812976640 has 1280 divisors, whose sum is σ = 3481560023040. Its totient is φ = 175814737920.

The previous prime is 812812976587. The next prime is 812812976653. The reversal of 812812976640 is 46679218218.

It is a happy number.

812812976640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704954304 + ... + 704955456.

It is an arithmetic number, because the mean of its divisors is an integer number (2719968768).

Almost surely, 2^812812976640 is an apocalyptic number.

812812976640 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 812812976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740780011520).

812812976640 is an abundant number, since it is smaller than the sum of its proper divisors (2668747046400).

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

812812976640 is a wasteful number, since it uses less digits than its factorization.

812812976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 812812976640 in words is "eight hundred twelve billion, eight hundred twelve million, nine hundred seventy-six thousand, six hundred forty".