80008 has 16 divisors (see below), whose sum is σ = 153180. Its totient is φ = 39168.

The previous prime is 79999. The next prime is 80021.

80008 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 484 = 282^2 + 22^2 .

80008 is a strobogrammatic number because it is the same when read upside-down.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 79973 and 80000.

It is a congruent number.

It is an unprimeable number.

80008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 516 + ... + 652.

2⁸⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

80008 is a deficient number, since it is larger than the sum of its proper divisors (73172).

80008 is a wasteful number, since it uses less digits than its factorization.

80008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 80008 is about 282.8568542567. The cubic root of 80008 is about 43.0901300426.

It can be divided in two parts, 8000 and 8, that multiplied together give a cube (64000 = 40³).

The spelling of 80008 in words is "eighty thousand, eight".