7955778718801 has 9 divisors (see below), whose sum is σ = 7966689627099. Its totient is φ = 7944882744864.

The previous prime is 7955778718799. The next prime is 7955778718831. The reversal of 7955778718801 is 1088178775597.

The square root of 7955778718801 is 2820599.

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., 7443157086225 + 512621632576 = 2728215^2 + 715976^2 .

It is not a de Polignac number, because 7955778718801 - 2¹ = 7955778718799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7955778718831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2755723780 + ... + 2755726666.

Almost surely, 2^{7955778718801} is an apocalyptic number.

7955778718801 is the 2820599-th square number.

7955778718801 is the 1410300-th centered octagonal number.

It is an amenable number.

7955778718801 is a deficient number, since it is larger than the sum of its proper divisors (10910908298).

7955778718801 is an frugal number, since it uses more digits than its factorization.

7955778718801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 276595200, while the sum is 73.

The spelling of 7955778718801 in words is "seven trillion, nine hundred fifty-five billion, seven hundred seventy-eight million, seven hundred eighteen thousand, eight hundred one".