768388049 has 32 divisors (see below), whose sum is σ = 968163840. Its totient is φ = 599040000.

The previous prime is 768388039. The next prime is 768388051. The reversal of 768388049 is 940883867.

It is a happy number.

It is not a de Polignac number, because 768388049 - 2²⁴ = 751610833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768388039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190049 + ... + 194049.

It is an arithmetic number, because the mean of its divisors is an integer number (30255120).

Almost surely, 2^768388049 is an apocalyptic number.

768388049 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

768388049 is a deficient number, since it is larger than the sum of its proper divisors (199775791).

768388049 is a wasteful number, since it uses less digits than its factorization.

768388049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The square root of 768388049 is about 27719.8132930220. The cubic root of 768388049 is about 915.9256059952.

The spelling of 768388049 in words is "seven hundred sixty-eight million, three hundred eighty-eight thousand, forty-nine".