86776577667 has 128 divisors (see below), whose sum is σ = 143980784640. Its totient is φ = 51321600000.

The previous prime is 86776577651. The next prime is 86776577687. The reversal of 86776577667 is 76677567768.

It is a happy number.

It is not a de Polignac number, because 86776577667 - 2⁴ = 86776577651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86776577595 and 86776577604.

It is not an unprimeable number, because it can be changed into a prime (86776577627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345723292 + ... + 345723542.

It is an arithmetic number, because the mean of its divisors is an integer number (1124849880).

Almost surely, 2^86776577667 is an apocalyptic number.

86776577667 is a deficient number, since it is larger than the sum of its proper divisors (57204206973).

86776577667 is a wasteful number, since it uses less digits than its factorization.

86776577667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 636 counting only the distinct ones).

The product of its digits is 871274880, while the sum is 72.

The spelling of 86776577667 in words is "eighty-six billion, seven hundred seventy-six million, five hundred seventy-seven thousand, six hundred sixty-seven".