75990 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 18944.

The previous prime is 75989. The next prime is 75991. The reversal of 75990 is 9957.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75989) and next prime (75991).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 7⁵ + 5³ + 9 + 9⁵ + 0 .

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 75990.

It is not an unprimeable number, because it can be changed into a prime (75991) 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, 436 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁷⁵⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

75990 is an abundant number, since it is smaller than the sum of its proper divisors (118410).

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

75990 is a wasteful number, since it uses less digits than its factorization.

75990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 75990 is about 275.6628375389. The cubic root of 75990 is about 42.3563779437.

The spelling of 75990 in words is "seventy-five thousand, nine hundred ninety".