87280 has 20 divisors (see below), whose sum is σ = 203112. Its totient is φ = 34880.

The previous prime is 87277. The next prime is 87281. The reversal of 87280 is 8278.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×87280³ = 1994644333056000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466 + ... + 625.

2⁸⁷²⁸⁰ is an apocalyptic number.

87280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87280 is an abundant number, since it is smaller than the sum of its proper divisors (115832).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

87280 is a wasteful number, since it uses less digits than its factorization.

87280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 87280 is about 295.4318872431. The cubic root of 87280 is about 44.3579614544.

The spelling of 87280 in words is "eighty-seven thousand, two hundred eighty".