5776 has 15 divisors (see below), whose sum is σ = 11811. Its totient is φ = 2736.

The previous prime is 5749. The next prime is 5779. The reversal of 5776 is 6775.

5776 = T_{75} + T_{76}.

The square root of 5776 is 76.

It is a perfect power (a square), and thus also a powerful number.

5776 is nontrivially palindromic in base 6 and base 15.

It is a Duffinian number.

5776 is an undulating number in base 6.

Its product of digits (1470) is a multiple of the sum of its prime divisors (21).

It is a self number, because there is not a number *n* which added to its sum of digits gives 5776.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 295 + ... + 313.

5776 is a Friedman number, since it can be written as 76^(7-5), using all its digits and the basic arithmetic operations.

2^{5776} is an apocalyptic number.

5776 is the 76-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5776

5776 is an abundant number, since it is smaller than the sum of its proper divisors (6035).

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

5776 is a wasteful number, since it uses less digits than its factorization.

5776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

The product of its digits is 1470, while the sum is 25.

The cubic root of 5776 is about 17.9422014369.

Multiplying 5776 by its sum of digits (25), we get a square (144400 = 380^{2}).

Subtracting 5776 from its reverse (6775), we obtain a palindrome (999).

The spelling of 5776 in words is "five thousand, seven hundred seventy-six".

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