768144384 has 352 divisors, whose sum is σ = 2685664000. Its totient is φ = 219469824.

The previous prime is 768144379. The next prime is 768144397. The reversal of 768144384 is 483441867.

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 is a nude number because it is divisible by every one of its digits.

Its product of digits (516096) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109734909 + ... + 109734915.

Almost surely, 2^768144384 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 768144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342832000).

768144384 is an abundant number, since it is smaller than the sum of its proper divisors (1917519616).

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

768144384 is an frugal number, since it uses more digits than its factorization.

768144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 768144384 is about 27715.4178030929. The cubic root of 768144384 is about 915.8287787874.

The spelling of 768144384 in words is "seven hundred sixty-eight million, one hundred forty-four thousand, three hundred eighty-four".