772628833 has 2 divisors, whose sum is σ = 772628834. Its totient is φ = 772628832.

The previous prime is 772628819. The next prime is 772628837. The reversal of 772628833 is 338826277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 668119104 + 104509729 = 25848^2 + 10223^2 .

It is an emirp because it is prime and its reverse (338826277) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772628833 is a prime.

It is not a weakly prime, because it can be changed into another prime (772628837) 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 as a sum of consecutive naturals, namely, 386314416 + 386314417.

It is an arithmetic number, because the mean of its divisors is an integer number (386314417).

Almost surely, 2^772628833 is an apocalyptic number.

It is an amenable number.

772628833 is a deficient number, since it is larger than the sum of its proper divisors (1).

772628833 is an equidigital number, since it uses as much as digits as its factorization.

772628833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 677376, while the sum is 46.

The square root of 772628833 is about 27796.2017729042. The cubic root of 772628833 is about 917.6075333726.

The spelling of 772628833 in words is "seven hundred seventy-two million, six hundred twenty-eight thousand, eight hundred thirty-three".