771328332009 has 27 divisors (see below), whose sum is σ = 1121492131383. Its totient is φ = 510848152992.

The previous prime is 771328331989. The next prime is 771328332017. The reversal of 771328332009 is 900233823177.

The square root of 771328332009 is 878253.

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., 21843362025 + 749484969984 = 147795^2 + 865728^2 .

It is not a de Polignac number, because 771328332009 - 2⁹ = 771328331497 is a prime.

It is a super-2 number, since 2×771328332009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (771328332409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440003877 + ... + 440005629.

Almost surely, 2^771328332009 is an apocalyptic number.

771328332009 is the 878253-rd square number.

771328332009 is the 439127-th centered octagonal number.

It is an amenable number.

771328332009 is a deficient number, since it is larger than the sum of its proper divisors (350163799374).

771328332009 is an frugal number, since it uses more digits than its factorization.

771328332009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 771328332009 in words is "seven hundred seventy-one billion, three hundred twenty-eight million, three hundred thirty-two thousand, nine".