768384 has 96 divisors (see below), whose sum is σ = 2386800. Its totient is φ = 236544.

The previous prime is 768377. The next prime is 768389. The reversal of 768384 is 483867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (32256) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26482 + ... + 26510.

2⁷⁶⁸³⁸⁴ 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 768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193400).

768384 is an abundant number, since it is smaller than the sum of its proper divisors (1618416).

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

768384 is a wasteful number, since it uses less digits than its factorization.

768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 768384 is about 876.5751536520. The cubic root of 768384 is about 91.5923997177.

The spelling of 768384 in words is "seven hundred sixty-eight thousand, three hundred eighty-four".