75930 has 16 divisors (see below), whose sum is σ = 182304. Its totient is φ = 20240.

The previous prime is 75913. The next prime is 75931. The reversal of 75930 is 3957.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 75930.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75930.

It is not an unprimeable number, because it can be changed into a prime (75931) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1236 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (11394).

2⁷⁵⁹³⁰ is an apocalyptic number.

75930 is an abundant number, since it is smaller than the sum of its proper divisors (106374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91152).

75930 is a wasteful number, since it uses less digits than its factorization.

75930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 75930 is about 275.5539874507. The cubic root of 75930 is about 42.3452271263.

The spelling of 75930 in words is "seventy-five thousand, nine hundred thirty".