76959 has 12 divisors (see below), whose sum is σ = 117936. Its totient is φ = 48192.

The previous prime is 76949. The next prime is 76961. The reversal of 76959 is 95967.

It is not a de Polignac number, because 76959 - 2⁴ = 76943 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76959.

It is not an unprimeable number, because it can be changed into a prime (76919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁷⁶⁹⁵⁹ is an apocalyptic number.

76959 is a deficient number, since it is larger than the sum of its proper divisors (40977).

76959 is a wasteful number, since it uses less digits than its factorization.

76959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 76959 is about 277.4148518014. The cubic root of 76959 is about 42.5356563514.

It can be divided in two parts, 769 and 59, that added together give a palindrome (828).

The spelling of 76959 in words is "seventy-six thousand, nine hundred fifty-nine".