77647308156441 has 81 divisors (see below), whose sum is σ = 114800066222751. Its totient is φ = 50573080076544.

The previous prime is 77647308156433. The next prime is 77647308156463. The reversal of 77647308156441 is 14465180374677.

It is a happy number.

The square root of 77647308156441 is 8811771.

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

77647308156441 is a `hidden beast` number, since 7 + 7 + 6 + 4 + 7 + 30 + 8 + 156 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34866603992025 + 42780704164416 = 5904795^2 + 6540696^2 .

It is not a de Polignac number, because 77647308156441 - 2³ = 77647308156433 is a prime.

It is a super-2 number, since 2×77647308156441² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77647308156421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 274372113486 + ... + 274372113768.

Almost surely, 2^{77647308156441} is an apocalyptic number.

77647308156441 is the 8811771-st square number.

77647308156441 is the 4405886-th centered octagonal number.

It is an amenable number.

77647308156441 is a deficient number, since it is larger than the sum of its proper divisors (37152758066310).

77647308156441 is an frugal number, since it uses more digits than its factorization.

77647308156441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 77647308156441 in words is "seventy-seven trillion, six hundred forty-seven billion, three hundred eight million, one hundred fifty-six thousand, four hundred forty-one".