766428460681 has 9 divisors (see below), whose sum is σ = 829931899719. Its totient is φ = 707461919736.

The previous prime is 766428460667. The next prime is 766428460691. The reversal of 766428460681 is 186064824667.

The square root of 766428460681 is 875459.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113376991225 + 653051469456 = 336715^2 + 808116^2 .

It is not a de Polignac number, because 766428460681 - 2⁹ = 766428460169 is a prime.

It is a super-2 number, since 2×766428460681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (766428460691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11347296 + ... + 11414638.

Almost surely, 2^766428460681 is an apocalyptic number.

766428460681 is the 875459-th square number.

766428460681 is the 437730-th centered octagonal number.

It is an amenable number.

766428460681 is a deficient number, since it is larger than the sum of its proper divisors (63503439038).

766428460681 is an frugal number, since it uses more digits than its factorization.

766428460681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134712 (or 67356 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 766428460681 in words is "seven hundred sixty-six billion, four hundred twenty-eight million, four hundred sixty thousand, six hundred eighty-one".