768356608 has 36 divisors (see below), whose sum is σ = 1547342748. Its totient is φ = 380764160.

The previous prime is 768356593. The next prime is 768356629. The reversal of 768356608 is 806653867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 289272064 + 479084544 = 17008^2 + 21888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15648 + ... + 42208.

It is an arithmetic number, because the mean of its divisors is an integer number (42981743).

Almost surely, 2^768356608 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 768356608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773671374).

768356608 is an abundant number, since it is smaller than the sum of its proper divisors (778986140).

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

768356608 is a wasteful number, since it uses less digits than its factorization.

768356608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26690 (or 26676 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 768356608 is about 27719.2461657961. The cubic root of 768356608 is about 915.9131131713.

The spelling of 768356608 in words is "seven hundred sixty-eight million, three hundred fifty-six thousand, six hundred eight".