77027162886144 has 351 divisors, whose sum is σ = 231178091073033. Its totient is φ = 25660555149312.

The previous prime is 77027162886083. The next prime is 77027162886169. The reversal of 77027162886144 is 44168826172077.

The square root of 77027162886144 is 8776512.

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

77027162886144 is a `hidden beast` number, since 7 + 7 + 0 + 2 + 7 + 1 + 6 + 2 + 8 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29346922598400 + 47680240287744 = 5417280^2 + 6905088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45497437362 + ... + 45497439054.

Almost surely, 2^{77027162886144} is an apocalyptic number.

77027162886144 is the 8776512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77027162886144

77027162886144 is an abundant number, since it is smaller than the sum of its proper divisors (154150928186889).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77027162886144 is an frugal number, since it uses more digits than its factorization.

77027162886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 77027162886144 in words is "seventy-seven trillion, twenty-seven billion, one hundred sixty-two million, eight hundred eighty-six thousand, one hundred forty-four".