76986 has 48 divisors (see below), whose sum is σ = 209664. Its totient is φ = 19872.

The previous prime is 76963. The next prime is 76991. The reversal of 76986 is 68967.

Its product of digits (18144) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 76986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁷⁶⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

76986 is an abundant number, since it is smaller than the sum of its proper divisors (132678).

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

76986 is a wasteful number, since it uses less digits than its factorization.

76986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 72 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76986 is about 277.4635111145. The cubic root of 76986 is about 42.5406301186.

The spelling of 76986 in words is "seventy-six thousand, nine hundred eighty-six".