4782304800 has 720 divisors, whose sum is σ = 21491249472. Its totient is φ = 1007769600.

The previous prime is 4782304781. The next prime is 4782304819. The reversal of 4782304800 is 84032874.

It is an interprime number because it is at equal distance from previous prime (4782304781) and next prime (4782304819).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5896395 + ... + 5897205.

Almost surely, 2^4782304800 is an apocalyptic number.

4782304800 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 4782304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10745624736).

4782304800 is an abundant number, since it is smaller than the sum of its proper divisors (16708944672).

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

4782304800 is a wasteful number, since it uses less digits than its factorization.

4782304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4782304800 is about 69154.2102839733. The cubic root of 4782304800 is about 1684.7899018072.

The spelling of 4782304800 in words is "four billion, seven hundred eighty-two million, three hundred four thousand, eight hundred".