7777560961 has 2 divisors, whose sum is σ = 7777560962. Its totient is φ = 7777560960.

The previous prime is 7777560943. The next prime is 7777560971. The reversal of 7777560961 is 1690657777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4329640000 + 3447920961 = 65800^2 + 58719^2 .

It is an emirp because it is prime and its reverse (1690657777) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7777560961 - 2¹¹ = 7777558913 is a prime.

It is not a weakly prime, because it can be changed into another prime (7777560971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3888780480 + 3888780481.

It is an arithmetic number, because the mean of its divisors is an integer number (3888780481).

Almost surely, 2^7777560961 is an apocalyptic number.

It is an amenable number.

7777560961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7777560961 is an equidigital number, since it uses as much as digits as its factorization.

7777560961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3889620, while the sum is 55.

The square root of 7777560961 is about 88190.4811246656. The cubic root of 7777560961 is about 1981.2889068166.

It can be divided in two parts, 7777560 and 961, that added together give a square (7778521 = 2789²).

The spelling of 7777560961 in words is "seven billion, seven hundred seventy-seven million, five hundred sixty thousand, nine hundred sixty-one".