80507 has 12 divisors (see below), whose sum is σ = 98496. Its totient is φ = 65520.

The previous prime is 80491. The next prime is 80513. The reversal of 80507 is 70508.

It is not a de Polignac number, because 80507 - 2⁴ = 80491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80527) 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 11 ways as a sum of consecutive naturals, for example, 1493 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁸⁰⁵⁰⁷ is an apocalyptic number.

80507 is a deficient number, since it is larger than the sum of its proper divisors (17989).

80507 is a wasteful number, since it uses less digits than its factorization.

80507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 80507 is about 283.7375547932. The cubic root of 80507 is about 43.1795270504.

Subtracting from 80507 its reverse (70508), we obtain a palindrome (9999).

The spelling of 80507 in words is "eighty thousand, five hundred seven".