75801 has 8 divisors (see below), whose sum is σ = 110304. Its totient is φ = 45920.

The previous prime is 75797. The next prime is 75821. The reversal of 75801 is 10857.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 75801 - 2² = 75797 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (13788).

2⁷⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

75801 is a deficient number, since it is larger than the sum of its proper divisors (34503).

75801 is a wasteful number, since it uses less digits than its factorization.

75801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 75801 is about 275.3198140345. The cubic root of 75801 is about 42.3212329619.

The spelling of 75801 in words is "seventy-five thousand, eight hundred one".