766826368 has 128 divisors (see below), whose sum is σ = 1923344640. Its totient is φ = 298298880.

The previous prime is 766826317. The next prime is 766826387. The reversal of 766826368 is 863628667.

766826368 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 (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192255 + ... + 1192897.

It is an arithmetic number, because the mean of its divisors is an integer number (15026130).

Almost surely, 2^766826368 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 766826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961672320).

766826368 is an abundant number, since it is smaller than the sum of its proper divisors (1156518272).

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

766826368 is an equidigital number, since it uses as much as digits as its factorization.

766826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 663 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 766826368 is about 27691.6299267486. The cubic root of 766826368 is about 915.3046724462.

The spelling of 766826368 in words is "seven hundred sixty-six million, eight hundred twenty-six thousand, three hundred sixty-eight".