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5778 = 233107

5778 has 16 divisors (see below), whose sum is σ = 12960. Its totient is φ = 1908.

The previous prime is 5749. The next prime is 5779. The reversal of 5778 is 8775.

5778 is a nontrivial binomial coefficient, being equal to C(108, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Lucas number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5779) by changing a digit.

5778 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, 1 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

5778 is the 107-th triangular number and also the 54-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480).

5778 is an abundant number, since it is smaller than the sum of its proper divisors (7182).

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

5778 is a wasteful number, since it uses less digits than its factorization.

5778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 5778 is about 76.0131567559. The cubic root of 5778 is about 17.9442720892.

It can be divided in two parts, 577 and 8, that added together give a palindrome (585).

The spelling of 5778 in words is "five thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778