77752203633841 has 9 divisors (see below), whose sum is σ = 85463272592089. Its totient is φ = 70683733308100.

The previous prime is 77752203633791. The next prime is 77752203633847. The reversal of 77752203633841 is 14833630225777.

The square root of 77752203633841 is 8817721.

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

It is not a de Polignac number, because 77752203633841 - 2¹¹ = 77752203631793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77752203633847) 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 8 ways as a sum of consecutive naturals, for example, 96594126 + ... + 97395736.

Almost surely, 2^{77752203633841} is an apocalyptic number.

77752203633841 is the 8817721-st square number.

77752203633841 is the 4408861-st centered octagonal number.

It is an amenable number.

77752203633841 is a deficient number, since it is larger than the sum of its proper divisors (7711068958248).

77752203633841 is an frugal number, since it uses more digits than its factorization.

77752203633841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603244 (or 801622 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 77752203633841 in words is "seventy-seven trillion, seven hundred fifty-two billion, two hundred three million, six hundred thirty-three thousand, eight hundred forty-one".