766648806 has 192 divisors, whose sum is σ = 2058566400. Its totient is φ = 187971840.

The previous prime is 766648787. The next prime is 766648807. The reversal of 766648806 is 608846667.

766648806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766648807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5145220 + ... + 5145368.

It is an arithmetic number, because the mean of its divisors is an integer number (10721700).

Almost surely, 2^766648806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766648806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029283200).

766648806 is an abundant number, since it is smaller than the sum of its proper divisors (1291917594).

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

766648806 is a wasteful number, since it uses less digits than its factorization.

766648806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 766648806 is about 27688.4236821095. The cubic root of 766648806 is about 915.2340193923.

The spelling of 766648806 in words is "seven hundred sixty-six million, six hundred forty-eight thousand, eight hundred six".