803516256 has 72 divisors (see below), whose sum is σ = 2316361320. Its totient is φ = 264162816.

The previous prime is 803516243. The next prime is 803516257. The reversal of 803516256 is 652615308.

It is a tau number, because it is divible by the number of its divisors (72).

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 803516256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803516257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1915 + ... + 40133.

It is an arithmetic number, because the mean of its divisors is an integer number (32171685).

Almost surely, 2^803516256 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 803516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158180660).

803516256 is an abundant number, since it is smaller than the sum of its proper divisors (1512845064).

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

803516256 is a wasteful number, since it uses less digits than its factorization.

803516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38308 (or 38297 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 803516256 is about 28346.3623062996. The cubic root of 803516256 is about 929.6758634540.

The spelling of 803516256 in words is "eight hundred three million, five hundred sixteen thousand, two hundred fifty-six".