768132768 has 48 divisors (see below), whose sum is σ = 2171455776. Its totient is φ = 236348160.

The previous prime is 768132767. The next prime is 768132803. The reversal of 768132768 is 867231867.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (768132767) 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, 306498 + ... + 308993.

It is an arithmetic number, because the mean of its divisors is an integer number (45238662).

Almost surely, 2^768132768 is an apocalyptic number.

768132768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

768132768 is an abundant number, since it is smaller than the sum of its proper divisors (1403323008).

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

768132768 is a wasteful number, since it uses less digits than its factorization.

768132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615517 (or 615509 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 768132768 is about 27715.2082438505. The cubic root of 768132768 is about 915.8241623286.

Subtracting 768132768 from its reverse (867231867), we obtain a palindrome (99099099).

The spelling of 768132768 in words is "seven hundred sixty-eight million, one hundred thirty-two thousand, seven hundred sixty-eight".