768442384 has 80 divisors (see below), whose sum is σ = 1641402880. Its totient is φ = 347120640.

The previous prime is 768442361. The next prime is 768442417. The reversal of 768442384 is 483244867.

It is an unprimeable number.

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, 687394 + ... + 688510.

It is an arithmetic number, because the mean of its divisors is an integer number (20517536).

Almost surely, 2^768442384 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 768442384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820701440).

768442384 is an abundant number, since it is smaller than the sum of its proper divisors (872960496).

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

768442384 is a wasteful number, since it uses less digits than its factorization.

768442384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 768442384 is about 27720.7933508404. The cubic root of 768442384 is about 915.9471947592.

The spelling of 768442384 in words is "seven hundred sixty-eight million, four hundred forty-two thousand, three hundred eighty-four".