802944 has 96 divisors (see below), whose sum is σ = 2506140. Its totient is φ = 245760.

The previous prime is 802933. The next prime is 802951. The reversal of 802944 is 449208.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 14400 = 888^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802944.

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, 19564 + ... + 19604.

2⁸⁰²⁹⁴⁴ 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 802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070).

802944 is an abundant number, since it is smaller than the sum of its proper divisors (1703196).

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

802944 is a wasteful number, since it uses less digits than its factorization.

802944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 802944 is about 896.0714257245. The cubic root of 802944 is about 92.9455109182.

The spelling of 802944 in words is "eight hundred two thousand, nine hundred forty-four".