766243968 has 192 divisors, whose sum is σ = 2391181920. Its totient is φ = 216760320.

The previous prime is 766243963. The next prime is 766243969. The reversal of 766243968 is 869342667.

It is a happy number.

766243968 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 (192).

It is a super-3 number, since 3×766243968³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 766243968.

It is not an unprimeable number, because it can be changed into a prime (766243963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631383 + ... + 3631593.

Almost surely, 2^766243968 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 766243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195590960).

766243968 is an abundant number, since it is smaller than the sum of its proper divisors (1624937952).

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

766243968 is a wasteful number, since it uses less digits than its factorization.

766243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 416 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 766243968 is about 27681.1121163872. The cubic root of 766243968 is about 915.0728909653.

The spelling of 766243968 in words is "seven hundred sixty-six million, two hundred forty-three thousand, nine hundred sixty-eight".