4777760 has 48 divisors (see below), whose sum is σ = 12161016. Its totient is φ = 1763328.

The previous prime is 4777739. The next prime is 4777769. The reversal of 4777760 is 677774.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 1860496 = 1708^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (4777769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 932 + ... + 3228.

Almost surely, 2^4777760 is an apocalyptic number.

4777760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4777760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080508).

4777760 is an abundant number, since it is smaller than the sum of its proper divisors (7383256).

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

4777760 is a wasteful number, since it uses less digits than its factorization.

4777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 4777760 is about 2185.8087748017. The cubic root of 4777760 is about 168.4256026731.

Adding to 4777760 its product of nonzero digits (57624), we get a palindrome (4835384).

The spelling of 4777760 in words is "four million, seven hundred seventy-seven thousand, seven hundred sixty".