768755808 has 144 divisors (see below), whose sum is σ = 2364027120. Its totient is φ = 236141568.

The previous prime is 768755797. The next prime is 768755839. The reversal of 768755808 is 808557867.

It is a happy number.

768755808 is a `hidden beast` number, since 7 + 6 + 87 + 558 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200566 + ... + 204362.

It is an arithmetic number, because the mean of its divisors is an integer number (16416855).

Almost surely, 2^768755808 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 768755808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182013560).

768755808 is an abundant number, since it is smaller than the sum of its proper divisors (1595271312).

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

768755808 is a wasteful number, since it uses less digits than its factorization.

768755808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The square root of 768755808 is about 27726.4460037705. The cubic root of 768755808 is about 916.0717067235.

The spelling of 768755808 in words is "seven hundred sixty-eight million, seven hundred fifty-five thousand, eight hundred eight".