812349920 has 48 divisors (see below), whose sum is σ = 1922765040. Its totient is φ = 324332544.

The previous prime is 812349919. The next prime is 812349977. The reversal of 812349920 is 29943218.

812349920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 86579 + ... + 95501.

It is an arithmetic number, because the mean of its divisors is an integer number (40057605).

Almost surely, 2^812349920 is an apocalyptic number.

812349920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812349920 is an abundant number, since it is smaller than the sum of its proper divisors (1110415120).

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

812349920 is a wasteful number, since it uses less digits than its factorization.

812349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 812349920 is about 28501.7529285481. The cubic root of 812349920 is about 933.0703317921.

The spelling of 812349920 in words is "eight hundred twelve million, three hundred forty-nine thousand, nine hundred twenty".