767840350225 has 135 divisors (see below), whose sum is σ = 1113962975151. Its totient is φ = 524917785600.

The previous prime is 767840350093. The next prime is 767840350237. The reversal of 767840350225 is 522053048767.

The square root of 767840350225 is 876265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 67 ways, for example, as 143082897169 + 624757453056 = 378263^2 + 790416^2 .

It is not a de Polignac number, because 767840350225 - 2³⁷ = 630401396753 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12587546695 + ... + 12587546755.

Almost surely, 2^767840350225 is an apocalyptic number.

767840350225 is the 876265-th square number.

767840350225 is the 438133-rd centered octagonal number.

It is an amenable number.

767840350225 is a deficient number, since it is larger than the sum of its proper divisors (346122624926).

767840350225 is an frugal number, since it uses more digits than its factorization.

767840350225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

Multiplying 767840350225 by its sum of digits (49), we get a square (37624177161025 = 6133855²).

The spelling of 767840350225 in words is "seven hundred sixty-seven billion, eight hundred forty million, three hundred fifty thousand, two hundred twenty-five".