75855 has 16 divisors (see below), whose sum is σ = 131040. Its totient is φ = 37248.

The previous prime is 75853. The next prime is 75869. The reversal of 75855 is 55857.

It is a happy number.

75855 is a nontrivial binomial coefficient, being equal to C(390, 2).

It is not a de Polignac number, because 75855 - 2¹ = 75853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁷⁵⁸⁵⁵ is an apocalyptic number.

75855 is the 389-th triangular number and also the 195-th hexagonal number.

75855 is a deficient number, since it is larger than the sum of its proper divisors (55185).

75855 is a wasteful number, since it uses less digits than its factorization.

75855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its digits is 7000, while the sum is 30.

The square root of 75855 is about 275.4178643443. The cubic root of 75855 is about 42.3312803408.

The spelling of 75855 in words is "seventy-five thousand, eight hundred fifty-five".