768844208 has 40 divisors (see below), whose sum is σ = 1629843600. Its totient is φ = 348445440.

The previous prime is 768844199. The next prime is 768844217. The reversal of 768844208 is 802448867.

It is a happy number.

768844208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768844199) and next prime (768844217).

It is a super-2 number, since 2×768844208² = 1182242832350294528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55166 + ... + 67682.

It is an arithmetic number, because the mean of its divisors is an integer number (40746090).

Almost surely, 2^768844208 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 768844208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814921800).

768844208 is an abundant number, since it is smaller than the sum of its proper divisors (860999392).

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

768844208 is a wasteful number, since it uses less digits than its factorization.

768844208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885 (or 12879 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The square root of 768844208 is about 27728.0401038371. The cubic root of 768844208 is about 916.1068187119.

The spelling of 768844208 in words is "seven hundred sixty-eight million, eight hundred forty-four thousand, two hundred eight".