288080 has 40 divisors (see below), whose sum is σ = 723912. Its totient is φ = 105984.

The previous prime is 288077. The next prime is 288089. The reversal of 288080 is 80882.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 287296 = 28^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 288080.

It is not an unprimeable number, because it can be changed into a prime (288089) 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 7 ways as a sum of consecutive naturals, for example, 902 + ... + 1178.

2²⁸⁸⁰⁸⁰ is an apocalyptic number.

288080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361956).

288080 is an abundant number, since it is smaller than the sum of its proper divisors (435832).

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

288080 is a wasteful number, since it uses less digits than its factorization.

288080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

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

The square root of 288080 is about 536.7308450238. The cubic root of 288080 is about 66.0446590919.

It can be divided in two parts, 2880 and 80, that multiplied together give a square (230400 = 480²).

The spelling of 288080 in words is "two hundred eighty-eight thousand, eighty".