772542117 has 20 divisors (see below), whose sum is σ = 1155549516. Its totient is φ = 514356480.

The previous prime is 772542097. The next prime is 772542119. The reversal of 772542117 is 711245277.

It can be written as a sum of positive squares in 2 ways, for example, as 237961476 + 534580641 = 15426^2 + 23121^2 .

It is not a de Polignac number, because 772542117 - 2¹⁸ = 772279973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772542119) 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 19 ways as a sum of consecutive naturals, for example, 60693 + ... + 72309.

Almost surely, 2^772542117 is an apocalyptic number.

It is an amenable number.

772542117 is a deficient number, since it is larger than the sum of its proper divisors (383007399).

772542117 is a wasteful number, since it uses less digits than its factorization.

772542117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12450 (or 12441 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 772542117 is about 27794.6418757285. The cubic root of 772542117 is about 917.5732028599.

The spelling of 772542117 in words is "seven hundred seventy-two million, five hundred forty-two thousand, one hundred seventeen".