87756 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 28560.

The previous prime is 87751. The next prime is 87767. The reversal of 87756 is 65778.

It is a super-2 number, since 2×87756² = 15402231072, which contains 22 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87751) 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, 801 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2⁸⁷⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

87756 is an abundant number, since it is smaller than the sum of its proper divisors (121908).

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 (104832).

87756 is a wasteful number, since it uses less digits than its factorization.

87756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 87756 is about 296.2363920925. The cubic root of 87756 is about 44.4384538222.

It can be divided in two parts, 8775 and 6, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 87756 in words is "eighty-seven thousand, seven hundred fifty-six".