803552256 has 264 divisors, whose sum is σ = 2637682320. Its totient is φ = 233570304.

The previous prime is 803552221. The next prime is 803552291. The reversal of 803552256 is 652255308.

It is a happy number.

803552256 is a `hidden beast` number, since 80 + 3 + 5 + 522 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (803552221) and next prime (803552291).

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 803552256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276176 + ... + 2276528.

Almost surely, 2^803552256 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 803552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318841160).

803552256 is an abundant number, since it is smaller than the sum of its proper divisors (1834130064).

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

803552256 is a wasteful number, since it uses less digits than its factorization.

803552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 803552256 is about 28346.9973013016. The cubic root of 803552256 is about 929.6897473595.

The spelling of 803552256 in words is "eight hundred three million, five hundred fifty-two thousand, two hundred fifty-six".