766127041 has 9 divisors (see below), whose sum is σ = 777331363. Its totient is φ = 755083120.

The previous prime is 766127009. The next prime is 766127053. The reversal of 766127041 is 140721667.

It is a happy number.

The square root of 766127041 is 27679.

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

766127041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 147112641 + 619014400 = 12129^2 + 24880^2 .

It is not a de Polignac number, because 766127041 - 2⁵ = 766127009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766126988 and 766127006.

It is not an unprimeable number, because it can be changed into a prime (766127071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2463276 + ... + 2463586.

Almost surely, 2^766127041 is an apocalyptic number.

766127041 is the 27679-th square number.

766127041 is the 13840-th centered octagonal number.

It is an amenable number.

766127041 is a deficient number, since it is larger than the sum of its proper divisors (11204322).

766127041 is an frugal number, since it uses more digits than its factorization.

766127041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The cubic root of 766127041 is about 915.0263426180.

The spelling of 766127041 in words is "seven hundred sixty-six million, one hundred twenty-seven thousand, forty-one".