87380 has 24 divisors (see below), whose sum is σ = 195048. Its totient is φ = 32768.

The previous prime is 87359. The next prime is 87383. The reversal of 87380 is 8378.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 42436 = 212^2 + 206^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87383) by changing a digit.

87380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 87380 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (8127).

2⁸⁷³⁸⁰ 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 87380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97524).

87380 is an abundant number, since it is smaller than the sum of its proper divisors (107668).

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

87380 is a wasteful number, since it uses less digits than its factorization.

87380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 87380 is about 295.6010825420. The cubic root of 87380 is about 44.3748958538.

The spelling of 87380 in words is "eighty-seven thousand, three hundred eighty".