76889 has 4 divisors (see below), whose sum is σ = 80256. Its totient is φ = 73524.

The previous prime is 76883. The next prime is 76907. The reversal of 76889 is 98867.

76889 = T₇₀ + T₇₁ + ... + T₉₂.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 76889 - 2⁴ = 76873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1649 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (20064).

2⁷⁶⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

76889 is a deficient number, since it is larger than the sum of its proper divisors (3367).

76889 is a wasteful number, since it uses less digits than its factorization.

76889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366.

The product of its digits is 24192, while the sum is 38.

The square root of 76889 is about 277.2886582607. The cubic root of 76889 is about 42.5227559796.

The spelling of 76889 in words is "seventy-six thousand, eight hundred eighty-nine".