768756384 has 144 divisors (see below), whose sum is σ = 2397638880. Its totient is φ = 231713280.

The previous prime is 768756377. The next prime is 768756409. The reversal of 768756384 is 483657867.

768756384 is a `hidden beast` number, since 76 + 8 + 7 + 563 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (6773760) is a multiple of the sum of its prime factors (1323).

It is a self number, because there is not a number n which added to its sum of digits gives 768756384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718602 + ... + 719670.

It is an arithmetic number, because the mean of its divisors is an integer number (16650270).

Almost surely, 2^768756384 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 768756384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198819440).

768756384 is an abundant number, since it is smaller than the sum of its proper divisors (1628882496).

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

768756384 is a wasteful number, since it uses less digits than its factorization.

768756384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 768756384 is about 27726.4563909635. The cubic root of 768756384 is about 916.0719355162.

The spelling of 768756384 in words is "seven hundred sixty-eight million, seven hundred fifty-six thousand, three hundred eighty-four".