7789 has 2 divisors, whose sum is σ = 7790. Its totient is φ = 7788.

The previous prime is 7759. The next prime is 7793. The reversal of 7789 is 9877.

7789 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6889 + 900 = 83^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 7789 - 2⁵ = 7757 is a prime.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7789.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3894 + 3895.

It is an arithmetic number, because the mean of its divisors is an integer number (3895).

2⁷⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

7789 is a deficient number, since it is larger than the sum of its proper divisors (1).

7789 is an equidigital number, since it uses as much as digits as its factorization.

7789 is an odious number, because the sum of its binary digits is odd.

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

The square root of 7789 is about 88.2553114549. The cubic root of 7789 is about 19.8225977412.

It can be divided in two parts, 778 and 9, that added together give a palindrome (787).

The spelling of 7789 in words is "seven thousand, seven hundred eighty-nine".