75806 has 8 divisors (see below), whose sum is σ = 117720. Its totient is φ = 36568.

The previous prime is 75797. The next prime is 75821. The reversal of 75806 is 60857.

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

It is a congruent number.

It is an unprimeable number.

75806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 596 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (14715).

2⁷⁵⁸⁰⁶ is an apocalyptic number.

75806 is a deficient number, since it is larger than the sum of its proper divisors (41914).

75806 is a wasteful number, since it uses less digits than its factorization.

75806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75806 is about 275.3288942338. The cubic root of 75806 is about 42.3221634751.

The spelling of 75806 in words is "seventy-five thousand, eight hundred six".