772129817 has 8 divisors (see below), whose sum is σ = 817792200. Its totient is φ = 726494464.

The previous prime is 772129793. The next prime is 772129819. The reversal of 772129817 is 718921277.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 771672841 = 676^2 + 27779^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772129817 - 2¹⁰ = 772128793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772129819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105059 + ... + 112167.

It is an arithmetic number, because the mean of its divisors is an integer number (102224025).

Almost surely, 2^772129817 is an apocalyptic number.

It is an amenable number.

772129817 is a deficient number, since it is larger than the sum of its proper divisors (45662383).

772129817 is a wasteful number, since it uses less digits than its factorization.

772129817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13515.

The product of its digits is 98784, while the sum is 44.

The square root of 772129817 is about 27787.2239887327. The cubic root of 772129817 is about 917.4099398073.

The spelling of 772129817 in words is "seven hundred seventy-two million, one hundred twenty-nine thousand, eight hundred seventeen".