812254560 has 576 divisors, whose sum is σ = 3187537920. Its totient is φ = 172523520.

The previous prime is 812254559. The next prime is 812254571. The reversal of 812254560 is 65452218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26201745 + ... + 26201775.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2^812254560 is an apocalyptic number.

812254560 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 812254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593768960).

812254560 is an abundant number, since it is smaller than the sum of its proper divisors (2375283360).

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

812254560 is a wasteful number, since it uses less digits than its factorization.

812254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 812254560 is about 28500.0799998877. The cubic root of 812254560 is about 933.0338199941.

The spelling of 812254560 in words is "eight hundred twelve million, two hundred fifty-four thousand, five hundred sixty".