811418256 has 360 divisors, whose sum is σ = 2764718880. Its totient is φ = 227525760.

The previous prime is 811418239. The next prime is 811418261. The reversal of 811418256 is 652814118.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15360) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 811418256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18870171 + ... + 18870213.

Almost surely, 2^811418256 is an apocalyptic number.

811418256 is a gapful number since it is divisible by the number (86) 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 811418256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382359440).

811418256 is an abundant number, since it is smaller than the sum of its proper divisors (1953300624).

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

811418256 is a wasteful number, since it uses less digits than its factorization.

811418256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 811418256 is about 28485.4042625342. The cubic root of 811418256 is about 932.7134902565.

The spelling of 811418256 in words is "eight hundred eleven million, four hundred eighteen thousand, two hundred fifty-six".