77089 has 4 divisors (see below), whose sum is σ = 77824. Its totient is φ = 76356.

The previous prime is 77081. The next prime is 77093. The reversal of 77089 is 98077.

77089 is nontrivially palindromic in base 16.

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 98077 = 7 ⋅14011.

It is a cyclic number.

It is not a de Polignac number, because 77089 - 2³ = 77081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77089.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (19456).

2⁷⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

77089 is a deficient number, since it is larger than the sum of its proper divisors (735).

77089 is a wasteful number, since it uses less digits than its factorization.

77089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 77089 is about 277.6490590656. The cubic root of 77089 is about 42.5595934464.

The spelling of 77089 in words is "seventy-seven thousand, eighty-nine".