5780 has 18 divisors (see below), whose sum is σ = 12894. Its totient is φ = 2176.

The previous prime is 5779. The next prime is 5783. The reversal of 5780 is 875.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 3844 = 44^2 + 62^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

5780 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 332 + ... + 348.

2⁵⁷⁸⁰ 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 5780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447).

5780 is an abundant number, since it is smaller than the sum of its proper divisors (7114).

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

5780 is a wasteful number, since it uses less digits than its factorization.

5780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 5780 is about 76.0263112350. The cubic root of 5780 is about 17.9463422636.

Multiplying 5780 by its sum of digits (20), we get a square (115600 = 340²).

5780 divided by its sum of digits (20) gives a square (289 = 17²).

It can be divided in two parts, 57 and 80, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 5780 in words is "five thousand, seven hundred eighty".