803679264 has 72 divisors (see below), whose sum is σ = 2302258140. Its totient is φ = 265924608.

The previous prime is 803679259. The next prime is 803679293. The reversal of 803679264 is 462976308.

803679264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 785120400 + 18558864 = 28020^2 + 4308^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29272 + ... + 49640.

Almost surely, 2^803679264 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 803679264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151129070).

803679264 is an abundant number, since it is smaller than the sum of its proper divisors (1498578876).

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

803679264 is a wasteful number, since it uses less digits than its factorization.

803679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 803679264 is about 28349.2374500620. The cubic root of 803679264 is about 929.7387264661.

The spelling of 803679264 in words is "eight hundred three million, six hundred seventy-nine thousand, two hundred sixty-four".