768541008 has 80 divisors (see below), whose sum is σ = 2017648640. Its totient is φ = 252056448.

The previous prime is 768541003. The next prime is 768541061. The reversal of 768541008 is 800145867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768541003) 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 15 ways as a sum of consecutive naturals, for example, 846891 + ... + 847797.

It is an arithmetic number, because the mean of its divisors is an integer number (25220608).

Almost surely, 2^768541008 is an apocalyptic number.

It is an amenable number.

768541008 is an abundant number, since it is smaller than the sum of its proper divisors (1249107632).

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

768541008 is a wasteful number, since it uses less digits than its factorization.

768541008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 768541008 is about 27722.5721750346. The cubic root of 768541008 is about 915.9863781401.

The spelling of 768541008 in words is "seven hundred sixty-eight million, five hundred forty-one thousand, eight".