382800768 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 107268096.

The previous prime is 382800763. The next prime is 382800793. The reversal of 382800768 is 867008283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382800763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141121 + ... + 143807.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^382800768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

382800768 is an abundant number, since it is smaller than the sum of its proper divisors (801639552).

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

382800768 is a wasteful number, since it uses less digits than its factorization.

382800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 382800768 is about 19565.2949888316. The cubic root of 382800768 is about 726.0907990769.

The spelling of 382800768 in words is "three hundred eighty-two million, eight hundred thousand, seven hundred sixty-eight".