77889 has 8 divisors (see below), whose sum is σ = 118720. Its totient is φ = 44496.

The previous prime is 77867. The next prime is 77893. The reversal of 77889 is 98877.

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

It is not a de Polignac number, because 77889 - 2⁷ = 77761 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (77839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1834 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (14840).

2⁷⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

77889 is a deficient number, since it is larger than the sum of its proper divisors (40831).

77889 is a wasteful number, since it uses less digits than its factorization.

77889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719.

The product of its digits is 28224, while the sum is 39.

The square root of 77889 is about 279.0860082484. The cubic root of 77889 is about 42.7063094553.

The spelling of 77889 in words is "seventy-seven thousand, eight hundred eighty-nine".