4777056 has 120 divisors (see below), whose sum is σ = 14941080. Its totient is φ = 1492992.

The previous prime is 4777043. The next prime is 4777057. The reversal of 4777056 is 6507774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 4777056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49200 + ... + 49296.

It is an arithmetic number, because the mean of its divisors is an integer number (124509).

Almost surely, 2^4777056 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 4777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470540).

4777056 is an abundant number, since it is smaller than the sum of its proper divisors (10164024).

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

4777056 is a wasteful number, since it uses less digits than its factorization.

4777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 4777056 is about 2185.6477300791. The cubic root of 4777056 is about 168.4173297971.

The spelling of 4777056 in words is "four million, seven hundred seventy-seven thousand, fifty-six".