4776320 has 64 divisors (see below), whose sum is σ = 12117600. Its totient is φ = 1794048.

The previous prime is 4776313. The next prime is 4776323. The reversal of 4776320 is 236774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4776323) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 10661 + ... + 11099.

Almost surely, 2^4776320 is an apocalyptic number.

4776320 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 4776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058800).

4776320 is an abundant number, since it is smaller than the sum of its proper divisors (7341280).

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

4776320 is a wasteful number, since it uses less digits than its factorization.

4776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 4776320 is about 2185.4793524534. The cubic root of 4776320 is about 168.4086800122.

It can be divided in two parts, 47 and 76320, that added together give a palindrome (76367).

The spelling of 4776320 in words is "four million, seven hundred seventy-six thousand, three hundred twenty".