766160320 has 56 divisors (see below), whose sum is σ = 1843302384. Its totient is φ = 303292416.

The previous prime is 766160303. The next prime is 766160321. The reversal of 766160320 is 23061667.

766160320 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 (766160321) 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, 18699 + ... + 43381.

It is an arithmetic number, because the mean of its divisors is an integer number (32916114).

Almost surely, 2^766160320 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 766160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921651192).

766160320 is an abundant number, since it is smaller than the sum of its proper divisors (1077142064).

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

766160320 is a wasteful number, since it uses less digits than its factorization.

766160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24797 (or 24787 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 766160320 is about 27679.6011531958. The cubic root of 766160320 is about 915.0395913871.

The spelling of 766160320 in words is "seven hundred sixty-six million, one hundred sixty thousand, three hundred twenty".