287880 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 76736.

The previous prime is 287873. The next prime is 287887. The reversal of 287880 is 88782.

It is an interprime number because it is at equal distance from previous prime (287873) and next prime (287887).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287880.

It is not an unprimeable number, because it can be changed into a prime (287887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2²⁸⁷⁸⁸⁰ is an apocalyptic number.

287880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287880 is an abundant number, since it is smaller than the sum of its proper divisors (576120).

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

287880 is a wasteful number, since it uses less digits than its factorization.

287880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 287880 is about 536.5444995525. The cubic root of 287880 is about 66.0293716836.

The spelling of 287880 in words is "two hundred eighty-seven thousand, eight hundred eighty".