76086 has 16 divisors (see below), whose sum is σ = 169200. Its totient is φ = 25344.

The previous prime is 76081. The next prime is 76091. The reversal of 76086 is 68067.

It is an interprime number because it is at equal distance from previous prime (76081) and next prime (76091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76081) 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, 651 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (10575).

2⁷⁶⁰⁸⁶ is an apocalyptic number.

76086 is an abundant number, since it is smaller than the sum of its proper divisors (93114).

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 (84600).

76086 is a wasteful number, since it uses less digits than its factorization.

76086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76086 is about 275.8369083353. The cubic root of 76086 is about 42.3742070491.

The spelling of 76086 in words is "seventy-six thousand, eighty-six".