766416768 has 64 divisors (see below), whose sum is σ = 2192408400. Its totient is φ = 235819008.

The previous prime is 766416701. The next prime is 766416769. The reversal of 766416768 is 867614667.

766416768 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 766416768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766416769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71773 + ... + 81756.

Almost surely, 2^766416768 is an apocalyptic number.

766416768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

766416768 is an abundant number, since it is smaller than the sum of its proper divisors (1425991632).

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

766416768 is a wasteful number, since it uses less digits than its factorization.

766416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153559 (or 153547 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 766416768 is about 27684.2332023121. The cubic root of 766416768 is about 915.1416735450.

The spelling of 766416768 in words is "seven hundred sixty-six million, four hundred sixteen thousand, seven hundred sixty-eight".