804288 has 56 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 259840.

The previous prime is 804283. The next prime is 804313. The reversal of 804288 is 882408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804288.

It is not an unprimeable number, because it can be changed into a prime (804281) by changing a digit.

804288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11293 + ... + 11363.

2⁸⁰⁴²⁸⁸ 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 804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

804288 is an abundant number, since it is smaller than the sum of its proper divisors (1390272).

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

804288 is a wasteful number, since it uses less digits than its factorization.

804288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 804288 is about 896.8210523845. The cubic root of 804288 is about 92.9973406570.

The spelling of 804288 in words is "eight hundred four thousand, two hundred eighty-eight".