4788800 has 84 divisors (see below), whose sum is σ = 12236196. Its totient is φ = 1843200.

The previous prime is 4788769. The next prime is 4788803. The reversal of 4788800 is 88874.

It can be written as a sum of positive squares in 6 ways, for example, as 692224 + 4096576 = 832^2 + 2024^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4788803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65564 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (145669).

Almost surely, 2^4788800 is an apocalyptic number.

4788800 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 4788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118098).

4788800 is an abundant number, since it is smaller than the sum of its proper divisors (7447396).

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

4788800 is a wasteful number, since it uses less digits than its factorization.

4788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 4788800 is about 2188.3326986544. The cubic root of 4788800 is about 168.5552302461. Note that the first 3 decimals are identical.

The spelling of 4788800 in words is "four million, seven hundred eighty-eight thousand, eight hundred".