4776 has 16 divisors (see below), whose sum is σ = 12000. Its totient is φ = 1584.

The previous prime is 4759. The next prime is 4783. The reversal of 4776 is 6774.

4776 = T₁₆ + T₁₇ + ... + T₃₁.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 199 = 4776 / (4 + 7 + 7 + 6).

It is a plaindrome in base 13.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 76 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (750).

2⁴⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

4776 is an abundant number, since it is smaller than the sum of its proper divisors (7224).

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 (6000).

4776 is a wasteful number, since it uses less digits than its factorization.

4776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 4776 is about 69.1086101727. The cubic root of 4776 is about 16.8404918959.

Subtracting from 4776 its product of digits (1176), we obtain a square (3600 = 60²).

It can be divided in two parts, 4 and 776, that added together give a triangular number (780 = T₃₉).

The spelling of 4776 in words is "four thousand, seven hundred seventy-six".