75980 has 24 divisors (see below), whose sum is σ = 166320. Its totient is φ = 29120.

The previous prime is 75979. The next prime is 75983. The reversal of 75980 is 8957.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75980.

It is not an unprimeable number, because it can be changed into a prime (75983) 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, 515 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁷⁵⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

75980 is an abundant number, since it is smaller than the sum of its proper divisors (90340).

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

75980 is a wasteful number, since it uses less digits than its factorization.

75980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 75980 is about 275.6446988425. The cubic root of 75980 is about 42.3545198818.

The spelling of 75980 in words is "seventy-five thousand, nine hundred eighty".