45776 has 10 divisors (see below), whose sum is σ = 88722. Its totient is φ = 22880.

The previous prime is 45767. The next prime is 45779. The reversal of 45776 is 67754.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 5776 = 200^2 + 76^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45779) by changing a digit.

45776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1415 + ... + 1446.

2⁴⁵⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

45776 is a deficient number, since it is larger than the sum of its proper divisors (42946).

45776 is a wasteful number, since it uses less digits than its factorization.

45776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2863 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 45776 is about 213.9532659251. The cubic root of 45776 is about 35.7722244323.

It can be divided in two parts, 4 and 5776, that multiplied together give a square (23104 = 152²).

The spelling of 45776 in words is "forty-five thousand, seven hundred seventy-six".