803889504 has 144 divisors (see below), whose sum is σ = 2547417600. Its totient is φ = 238375680.

The previous prime is 803889503. The next prime is 803889509. The reversal of 803889504 is 405988308.

803889504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 803889504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803889503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146197 + ... + 151595.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^803889504 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 803889504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

803889504 is an abundant number, since it is smaller than the sum of its proper divisors (1743528096).

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

803889504 is a wasteful number, since it uses less digits than its factorization.

803889504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 803889504 is about 28352.9452438367. The cubic root of 803889504 is about 929.8197916524.

The spelling of 803889504 in words is "eight hundred three million, eight hundred eighty-nine thousand, five hundred four".