77289 has 4 divisors (see below), whose sum is σ = 103056. Its totient is φ = 51524.

The previous prime is 77279. The next prime is 77291. The reversal of 77289 is 98277.

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 77289 - 2⁹ = 76777 is a prime.

It is a D-number.

It is a Curzon number.

77289 is a lucky number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (77239) 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, 12879 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (25764).

2⁷⁷²⁸⁹ is an apocalyptic number.

It is an amenable number.

77289 is a deficient number, since it is larger than the sum of its proper divisors (25767).

77289 is a wasteful number, since it uses less digits than its factorization.

77289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25766.

The product of its digits is 7056, while the sum is 33.

The square root of 77289 is about 278.0089926603. The cubic root of 77289 is about 42.5963672540.

It can be divided in two parts, 772 and 89, that added together give a triangular number (861 = T₄₁).

The spelling of 77289 in words is "seventy-seven thousand, two hundred eighty-nine".