800288 has 24 divisors (see below), whose sum is σ = 1598940. Its totient is φ = 394240.

The previous prime is 800287. The next prime is 800291. The reversal of 800288 is 882008.

It can be written as a sum of positive squares in 2 ways, for example, as 795664 + 4624 = 892^2 + 68^2 .

It is not an unprimeable number, because it can be changed into a prime (800281) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2708 + ... + 2988.

2⁸⁰⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

800288 is a deficient number, since it is larger than the sum of its proper divisors (798652).

800288 is a wasteful number, since it uses less digits than its factorization.

800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 800288 is about 894.5881734072. The cubic root of 800288 is about 92.8429151489.

It can be divided in two parts, 800 and 288, that multiplied together give a square (230400 = 480²).

The spelling of 800288 in words is "eight hundred thousand, two hundred eighty-eight".