768368400 has 60 divisors (see below), whose sum is σ = 2461343952. Its totient is φ = 204897920.

The previous prime is 768368371. The next prime is 768368443. The reversal of 768368400 is 4863867.

768368400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318954 + ... + 321353.

Almost surely, 2^768368400 is an apocalyptic number.

It is an amenable number.

768368400 is an abundant number, since it is smaller than the sum of its proper divisors (1692975552).

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

768368400 is a wasteful number, since it uses less digits than its factorization.

768368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640328 (or 640317 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 768368400 is about 27719.4588691771. The cubic root of 768368400 is about 915.9177986659.

The spelling of 768368400 in words is "seven hundred sixty-eight million, three hundred sixty-eight thousand, four hundred".