80769 has 16 divisors (see below), whose sum is σ = 123200. Its totient is φ = 46656.

The previous prime is 80761. The next prime is 80777. The reversal of 80769 is 96708.

It is a happy number.

80769 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (80761) and next prime (80777).

It is not a de Polignac number, because 80769 - 2³ = 80761 is a prime.

It is a super-2 number, since 2×80769² = 13047262722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (7700).

2⁸⁰⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

80769 is a deficient number, since it is larger than the sum of its proper divisors (42431).

80769 is a wasteful number, since it uses less digits than its factorization.

80769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 80769 is about 284.1988740301. The cubic root of 80769 is about 43.2263171264.

The spelling of 80769 in words is "eighty thousand, seven hundred sixty-nine".