4380800 has 72 divisors (see below), whose sum is σ = 11122335. Its totient is φ = 1704960.

The previous prime is 4380793. The next prime is 4380839. The reversal of 4380800 is 80834.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3474496 + 906304 = 1864^2 + 952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1480.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 118382 + ... + 118418.

Almost surely, 2^4380800 is an apocalyptic number.

4380800 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 4380800

4380800 is an abundant number, since it is smaller than the sum of its proper divisors (6741535).

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

4380800 is an equidigital number, since it uses as much as digits as its factorization.

4380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4380800 is about 2093.0360723122. The cubic root of 4380800 is about 163.6255585832.

The spelling of 4380800 in words is "four million, three hundred eighty thousand, eight hundred".