772116052293 has 12 divisors (see below), whose sum is σ = 1119424763340. Its totient is φ = 512830486656.

The previous prime is 772116052291. The next prime is 772116052319. The reversal of 772116052293 is 392250611277.

It is a happy number.

772116052293 is a `hidden beast` number, since 7 + 7 + 2 + 11 + 605 + 2 + 29 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 475524713889 + 296591338404 = 689583^2 + 544602^2 .

It is not a de Polignac number, because 772116052293 - 2¹ = 772116052291 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772116052291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159459796 + ... + 159464637.

It is an arithmetic number, because the mean of its divisors is an integer number (93285396945).

Almost surely, 2^772116052293 is an apocalyptic number.

It is an amenable number.

772116052293 is a deficient number, since it is larger than the sum of its proper divisors (347308711047).

772116052293 is a wasteful number, since it uses less digits than its factorization.

772116052293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318924708 (or 318924705 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 772116052293 in words is "seven hundred seventy-two billion, one hundred sixteen million, fifty-two thousand, two hundred ninety-three".