766006120 has 64 divisors (see below), whose sum is σ = 1904083200. Its totient is φ = 275009280.

The previous prime is 766006093. The next prime is 766006177. The reversal of 766006120 is 21600667.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 45778.

It is an arithmetic number, because the mean of its divisors is an integer number (29751300).

Almost surely, 2^766006120 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 766006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952041600).

766006120 is an abundant number, since it is smaller than the sum of its proper divisors (1138077080).

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

766006120 is a wasteful number, since it uses less digits than its factorization.

766006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22138 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 766006120 is about 27676.8155682694. The cubic root of 766006120 is about 914.9781992875.

Adding to 766006120 its reverse (21600667), we get a palindrome (787606787).

The spelling of 766006120 in words is "seven hundred sixty-six million, six thousand, one hundred twenty".