76789 has 4 divisors (see below), whose sum is σ = 81324. Its totient is φ = 72256.

The previous prime is 76781. The next prime is 76801. The reversal of 76789 is 98767.

76789 = 30² + 31² + ... + 63².

76789 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98767 = 283 ⋅349.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 54289 = 150^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 76789 - 2³ = 76781 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2242 + ... + 2275.

It is an arithmetic number, because the mean of its divisors is an integer number (20331).

2⁷⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

76789 is a deficient number, since it is larger than the sum of its proper divisors (4535).

76789 is a wasteful number, since it uses less digits than its factorization.

76789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534.

The product of its digits is 21168, while the sum is 37.

The square root of 76789 is about 277.1082820848. The cubic root of 76789 is about 42.5043132877.

The spelling of 76789 in words is "seventy-six thousand, seven hundred eighty-nine".