80768 has 16 divisors (see below), whose sum is σ = 161160. Its totient is φ = 40320.

The previous prime is 80761. The next prime is 80777. The reversal of 80768 is 86708.

80768 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 80768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80761) 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 as a sum of consecutive naturals, namely, 188 + ... + 443.

2⁸⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

80768 is a deficient number, since it is larger than the sum of its proper divisors (80392).

80768 is an equidigital number, since it uses as much as digits as its factorization.

80768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 80768 is about 284.1971146933. The cubic root of 80768 is about 43.2261387308.

It can be divided in two parts, 80 and 768, that added together give a palindrome (848).

The spelling of 80768 in words is "eighty thousand, seven hundred sixty-eight".