4768000 has 72 divisors (see below), whose sum is σ = 11957400. Its totient is φ = 1894400.

The previous prime is 4767953. The next prime is 4768003. The reversal of 4768000 is 8674.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 3936256 = 912^2 + 1984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4768003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31926 + ... + 32074.

It is an arithmetic number, because the mean of its divisors is an integer number (166075).

Almost surely, 2^4768000 is an apocalyptic number.

4768000 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 4768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978700).

4768000 is an abundant number, since it is smaller than the sum of its proper divisors (7189400).

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

4768000 is an equidigital number, since it uses as much as digits as its factorization.

4768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4768000 is about 2183.5750502330. The cubic root of 4768000 is about 168.3108379790.

The spelling of 4768000 in words is "four million, seven hundred sixty-eight thousand".