8075 has 12 divisors (see below), whose sum is σ = 11160. Its totient is φ = 5760.

The previous prime is 8069. The next prime is 8081. The reversal of 8075 is 5708.

It is an interprime number because it is at equal distance from previous prime (8069) and next prime (8081).

It is not a de Polignac number, because 8075 - 2⁴ = 8059 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2⁸⁰⁷⁵ is an apocalyptic number.

8075 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8075 is a deficient number, since it is larger than the sum of its proper divisors (3085).

8075 is a wasteful number, since it uses less digits than its factorization.

8075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 8075 is about 89.8610037781. The cubic root of 8075 is about 20.0623056984.

The spelling of 8075 in words is "eight thousand, seventy-five".