87810 has 16 divisors (see below), whose sum is σ = 210816. Its totient is φ = 23408.

The previous prime is 87803. The next prime is 87811. The reversal of 87810 is 1878.

It is a super-2 number, since 2×87810² = 15421192200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1434 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2⁸⁷⁸¹⁰ is an apocalyptic number.

87810 is an abundant number, since it is smaller than the sum of its proper divisors (123006).

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 (105408).

87810 is a wasteful number, since it uses less digits than its factorization.

87810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 87810 is about 296.3275215028. The cubic root of 87810 is about 44.4475669103.

It can be divided in two parts, 878 and 10, that added together give a palindrome (888).

The spelling of 87810 in words is "eighty-seven thousand, eight hundred ten".