815072256 has 132 divisors (see below), whose sum is σ = 2394990000. Its totient is φ = 266907648.

The previous prime is 815072239. The next prime is 815072257. The reversal of 815072256 is 652270518.

It is a happy number.

815072256 is a `hidden beast` number, since 81 + 507 + 22 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 815072256.

It is not an unprimeable number, because it can be changed into a prime (815072257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542995 + ... + 544493.

Almost surely, 2^815072256 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 815072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197495000).

815072256 is an abundant number, since it is smaller than the sum of its proper divisors (1579917744).

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

815072256 is a wasteful number, since it uses less digits than its factorization.

815072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 815072256 is about 28549.4703278362. The cubic root of 815072256 is about 934.1114671778. Note that the first 3 decimals are identical.

The spelling of 815072256 in words is "eight hundred fifteen million, seventy-two thousand, two hundred fifty-six".