766065720 has 128 divisors (see below), whose sum is σ = 2656281600. Its totient is φ = 173116416.

The previous prime is 766065719. The next prime is 766065721. The reversal of 766065720 is 27560667.

766065720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (766065719) and next prime (766065721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766065721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69637 + ... + 79883.

It is an arithmetic number, because the mean of its divisors is an integer number (20752200).

Almost surely, 2^766065720 is an apocalyptic number.

766065720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766065720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328140800).

766065720 is an abundant number, since it is smaller than the sum of its proper divisors (1890215880).

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

766065720 is a wasteful number, since it uses less digits than its factorization.

766065720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 766065720 is about 27677.8922607918. The cubic root of 766065720 is about 915.0019289875.

The spelling of 766065720 in words is "seven hundred sixty-six million, sixty-five thousand, seven hundred twenty".