77686370505 has 12 divisors (see below), whose sum is σ = 134656375620. Its totient is φ = 41432730912.

The previous prime is 77686370491. The next prime is 77686370539. The reversal of 77686370505 is 50507368677.

77686370505 is a `hidden beast` number, since 7 + 7 + 6 + 8 + 63 + 70 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19670904009 + 58015466496 = 140253^2 + 240864^2 .

It is not a de Polignac number, because 77686370505 - 2¹⁴ = 77686354121 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863181850 + ... + 863181939.

It is an arithmetic number, because the mean of its divisors is an integer number (11221364635).

Almost surely, 2^77686370505 is an apocalyptic number.

It is an amenable number.

77686370505 is a deficient number, since it is larger than the sum of its proper divisors (56970005115).

77686370505 is a wasteful number, since it uses less digits than its factorization.

77686370505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726363800 (or 1726363797 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 77686370505 in words is "seventy-seven billion, six hundred eighty-six million, three hundred seventy thousand, five hundred five".