766016001 has 32 divisors (see below), whose sum is σ = 1146960000. Its totient is φ = 505257984.

The previous prime is 766015993. The next prime is 766016021. The reversal of 766016001 is 100610667.

It is not a de Polignac number, because 766016001 - 2³ = 766015993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (766016021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705825 + ... + 1706273.

It is an arithmetic number, because the mean of its divisors is an integer number (35842500).

Almost surely, 2^766016001 is an apocalyptic number.

It is an amenable number.

766016001 is a deficient number, since it is larger than the sum of its proper divisors (380943999).

766016001 is a wasteful number, since it uses less digits than its factorization.

766016001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 766016001 is about 27676.9940745017. The cubic root of 766016001 is about 914.9821334861.

Adding to 766016001 its reverse (100610667), we get a palindrome (866626668).

The spelling of 766016001 in words is "seven hundred sixty-six million, sixteen thousand, one".