5790 has 16 divisors (see below), whose sum is σ = 13968. Its totient is φ = 1536.

The previous prime is 5783. The next prime is 5791. The reversal of 5790 is 975.

5790 = 32² + 33² + ... + 36².

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791) by changing a digit.

5790 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (873).

2⁵⁷⁹⁰ is an apocalyptic number.

5790 is an abundant number, since it is smaller than the sum of its proper divisors (8178).

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 (6984).

5790 is a wasteful number, since it uses less digits than its factorization.

5790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 5790 is about 76.0920495190. The cubic root of 5790 is about 17.9566859790.

Adding to 5790 its product of nonzero digits (315), we get a triangular number (6105 = T₁₁₀).

The spelling of 5790 in words is "five thousand, seven hundred ninety".