80208 has 30 divisors (see below), whose sum is σ = 224874. Its totient is φ = 26688.

The previous prime is 80207. The next prime is 80209.

80208 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (80207) and next prime (80209).

It can be written as a sum of positive squares in only one way, i.e., 51984 + 28224 = 228^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80207) 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 in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 422.

2⁸⁰²⁰⁸ is an apocalyptic number.

It is an amenable number.

80208 is an abundant number, since it is smaller than the sum of its proper divisors (144666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80208 is a wasteful number, since it uses less digits than its factorization.

80208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80208 is about 283.2101693089. The cubic root of 80208 is about 43.1260050175.

The spelling of 80208 in words is "eighty thousand, two hundred eight".