80806 has 8 divisors (see below), whose sum is σ = 132264. Its totient is φ = 36720.

The previous prime is 80803. The next prime is 80809. The reversal of 80806 is 60808.

80806 = T₁₁₀ + T₁₁₁ + ... + T₁₂₁.

It is an interprime number because it is at equal distance from previous prime (80803) and next prime (80809).

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

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 3673 = 80806 / (8 + 0 + 8 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1815 + ... + 1858.

It is an arithmetic number, because the mean of its divisors is an integer number (16533).

2⁸⁰⁸⁰⁶ is an apocalyptic number.

80806 is a deficient number, since it is larger than the sum of its proper divisors (51458).

80806 is a wasteful number, since it uses less digits than its factorization.

80806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 80806 is about 284.2639618383. The cubic root of 80806 is about 43.2329167276.

The spelling of 80806 in words is "eighty thousand, eight hundred six".