79552766601 has 225 divisors, whose sum is σ = 156284192295. Its totient is φ = 40209190560.

The previous prime is 79552766593. The next prime is 79552766617. The reversal of 79552766601 is 10666725597.

The square root of 79552766601 is 282051.

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

It can be written as a sum of positive squares in only one way, i.e., 71184908025 + 8367858576 = 266805^2 + 91476^2 .

It is not a de Polignac number, because 79552766601 - 2³ = 79552766593 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (79552766651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2150074755 + ... + 2150074791.

Almost surely, 2^79552766601 is an apocalyptic number.

79552766601 is the 282051-st square number.

79552766601 is the 141026-th centered octagonal number.

It is an amenable number.

79552766601 is a deficient number, since it is larger than the sum of its proper divisors (76731425694).

79552766601 is an frugal number, since it uses more digits than its factorization.

79552766601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 79552766601 in words is "seventy-nine billion, five hundred fifty-two million, seven hundred sixty-six thousand, six hundred one".