77786130084125 has 16 divisors (see below), whose sum is σ = 97314442708080. Its totient is φ = 62076755116800.

The previous prime is 77786130084119. The next prime is 77786130084167. The reversal of 77786130084125 is 52148003168777.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22494502808569 + 55291627275556 = 4742837^2 + 7435834^2 .

It is not a de Polignac number, because 77786130084125 - 2¹⁶ = 77786130018589 is a prime.

It is a super-3 number, since 3×77786130084125³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760693424 + ... + 760795673.

It is an arithmetic number, because the mean of its divisors is an integer number (6082152669255).

Almost surely, 2^{77786130084125} is an apocalyptic number.

It is an amenable number.

77786130084125 is a deficient number, since it is larger than the sum of its proper divisors (19528312623955).

77786130084125 is a wasteful number, since it uses less digits than its factorization.

77786130084125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521489521 (or 1521489511 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 59.

The spelling of 77786130084125 in words is "seventy-seven trillion, seven hundred eighty-six billion, one hundred thirty million, eighty-four thousand, one hundred twenty-five".