87880 has 32 divisors (see below), whose sum is σ = 214200. Its totient is φ = 32448.

The previous prime is 87877. The next prime is 87881. The reversal of 87880 is 8878.

87880 = T₁₆ + T₁₇ + ... + T₈₀.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 86436 = 38^2 + 294^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (87881) 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, 6754 + ... + 6766.

2⁸⁷⁸⁸⁰ 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 87880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107100).

87880 is an abundant number, since it is smaller than the sum of its proper divisors (126320).

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

87880 is a wasteful number, since it uses less digits than its factorization.

87880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 87880 is about 296.4456105258. The cubic root of 87880 is about 44.4593746136.

The spelling of 87880 in words is "eighty-seven thousand, eight hundred eighty".