768193664 has 64 divisors (see below), whose sum is σ = 1753012800. Its totient is φ = 328473600.

The previous prime is 768193649. The next prime is 768193669. The reversal of 768193664 is 466391867.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (768193669) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 589814 + ... + 591114.

It is an arithmetic number, because the mean of its divisors is an integer number (27390825).

Almost surely, 2^768193664 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 768193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876506400).

768193664 is an abundant number, since it is smaller than the sum of its proper divisors (984819136).

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

768193664 is a wasteful number, since it uses less digits than its factorization.

768193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 768193664 is about 27716.3068246836. The cubic root of 768193664 is about 915.8483632466.

The spelling of 768193664 in words is "seven hundred sixty-eight million, one hundred ninety-three thousand, six hundred sixty-four".