816812256 has 144 divisors (see below), whose sum is σ = 2363555376. Its totient is φ = 245526528.

The previous prime is 816812177. The next prime is 816812279. The reversal of 816812256 is 652218618.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505516 + ... + 3505748.

It is an arithmetic number, because the mean of its divisors is an integer number (16413579).

Almost surely, 2^816812256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181777688).

816812256 is an abundant number, since it is smaller than the sum of its proper divisors (1546743120).

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

816812256 is a wasteful number, since it uses less digits than its factorization.

816812256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 304 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 816812256 is about 28579.9275016575. The cubic root of 816812256 is about 934.7757022480.

The spelling of 816812256 in words is "eight hundred sixteen million, eight hundred twelve thousand, two hundred fifty-six".