77284160081881 has 9 divisors (see below), whose sum is σ = 78057822715069. Its totient is φ = 76518091264000.

The previous prime is 77284160081879. The next prime is 77284160081911. The reversal of 77284160081881 is 18818006148277.

The square root of 77284160081881 is 8791141.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73388194689481 + 3895965392400 = 8566691^2 + 1973820^2 .

It is not a de Polignac number, because 77284160081881 - 2¹ = 77284160081879 is a prime.

It is a super-2 number, since 2×77284160081881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77284160084881) 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, 887861721 + ... + 887948761.

Almost surely, 2^{77284160081881} is an apocalyptic number.

77284160081881 is the 8791141-st square number.

77284160081881 is the 4395571-st centered octagonal number.

It is an amenable number.

77284160081881 is a deficient number, since it is larger than the sum of its proper divisors (773662633188).

77284160081881 is an frugal number, since it uses more digits than its factorization.

77284160081881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174284 (or 87142 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 61.

The spelling of 77284160081881 in words is "seventy-seven trillion, two hundred eighty-four billion, one hundred sixty million, eighty-one thousand, eight hundred eighty-one".