87760 has 20 divisors (see below), whose sum is σ = 204228. Its totient is φ = 35072.

The previous prime is 87751. The next prime is 87767. The reversal of 87760 is 6778.

87760 = T₆₁ + T₆₂ + ... + T₉₀.

87760 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 59536 = 168^2 + 244^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87767) 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, 469 + ... + 628.

2⁸⁷⁷⁶⁰ is an apocalyptic number.

87760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87760 is an abundant number, since it is smaller than the sum of its proper divisors (116468).

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 (102114).

87760 is a wasteful number, since it uses less digits than its factorization.

87760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 87760 is about 296.2431433806. The cubic root of 87760 is about 44.4391289939.

The spelling of 87760 in words is "eighty-seven thousand, seven hundred sixty".