812435883920 has 40 divisors (see below), whose sum is σ = 1954048381560. Its totient is φ = 313768340480.

The previous prime is 812435883907. The next prime is 812435883947. The reversal of 812435883920 is 29388534218.

It can be written as a sum of positive squares in 4 ways, for example, as 32280590224 + 780155293696 = 179668^2 + 883264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175091621 + ... + 175096260.

It is an arithmetic number, because the mean of its divisors is an integer number (48851209539).

Almost surely, 2^812435883920 is an apocalyptic number.

812435883920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812435883920 is an abundant number, since it is smaller than the sum of its proper divisors (1141612497640).

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

812435883920 is a wasteful number, since it uses less digits than its factorization.

812435883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350187923 (or 350187917 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 812435883920 in words is "eight hundred twelve billion, four hundred thirty-five million, eight hundred eighty-three thousand, nine hundred twenty".