80907 has 8 divisors (see below), whose sum is σ = 109200. Its totient is φ = 53280.

The previous prime is 80897. The next prime is 80909. The reversal of 80907 is 70908.

80907 is nontrivially palindromic in base 12.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 80907 - 2⁷ = 80779 is a prime.

80907 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80907.

It is not an unprimeable number, because it can be changed into a prime (80909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2⁸⁰⁹⁰⁷ is an apocalyptic number.

80907 is a deficient number, since it is larger than the sum of its proper divisors (28293).

80907 is a wasteful number, since it uses less digits than its factorization.

80907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 80907 is about 284.4415581451. The cubic root of 80907 is about 43.2509216060.

Subtracting from 80907 its reverse (70908), we obtain a palindrome (9999).

The spelling of 80907 in words is "eighty thousand, nine hundred seven".