766147968 has 96 divisors (see below), whose sum is σ = 2211821040. Its totient is φ = 254555136.

The previous prime is 766147961. The next prime is 766147999. The reversal of 766147968 is 869741667.

It is a happy number.

766147968 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766147961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428805 + ... + 430587.

Almost surely, 2^766147968 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 766147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105910520).

766147968 is an abundant number, since it is smaller than the sum of its proper divisors (1445673072).

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

766147968 is a wasteful number, since it uses less digits than its factorization.

766147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2161 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 766147968 is about 27679.3780276942. The cubic root of 766147968 is about 915.0346739525.

The spelling of 766147968 in words is "seven hundred sixty-six million, one hundred forty-seven thousand, nine hundred sixty-eight".