812256720 has 160 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 194641920.

The previous prime is 812256703. The next prime is 812256733. The reversal of 812256720 is 27652218.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233232 + ... + 236688.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^812256720 is an apocalyptic number.

812256720 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 812256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

812256720 is an abundant number, since it is smaller than the sum of its proper divisors (1966315440).

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

812256720 is a wasteful number, since it uses less digits than its factorization.

812256720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 812256720 is about 28500.1178944930. The cubic root of 812256720 is about 933.0346470547.

The spelling of 812256720 in words is "eight hundred twelve million, two hundred fifty-six thousand, seven hundred twenty".