87740 has 24 divisors (see below), whose sum is σ = 190512. Its totient is φ = 33920.

The previous prime is 87739. The next prime is 87743. The reversal of 87740 is 4778.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87740.

It is not an unprimeable number, because it can be changed into a prime (87743) 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, 767 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2⁸⁷⁷⁴⁰ 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 87740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

87740 is an abundant number, since it is smaller than the sum of its proper divisors (102772).

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

87740 is a wasteful number, since it uses less digits than its factorization.

87740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 87740 is about 296.2093854016. The cubic root of 87740 is about 44.4357529300.

The spelling of 87740 in words is "eighty-seven thousand, seven hundred forty".