76989 has 8 divisors (see below), whose sum is σ = 112032. Its totient is φ = 46640.

The previous prime is 76963. The next prime is 76991. The reversal of 76989 is 98967.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 76989 - 2⁸ = 76733 is a prime.

It is a super-2 number, since 2×76989² = 11854612242, which contains 22 as substring.

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

76989 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76919) 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, 1134 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (14004).

2⁷⁶⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

76989 is a deficient number, since it is larger than the sum of its proper divisors (35043).

76989 is a wasteful number, since it uses less digits than its factorization.

76989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347.

The product of its digits is 27216, while the sum is 39.

The square root of 76989 is about 277.4689171781. The cubic root of 76989 is about 42.5411826876.

Adding to 76989 its sum of digits (39), we get a triangular number (77028 = T₃₉₂).

It can be divided in two parts, 769 and 89, that added together give a palindrome (858).

The spelling of 76989 in words is "seventy-six thousand, nine hundred eighty-nine".