87782807677 has 16 divisors (see below), whose sum is σ = 88946595072. Its totient is φ = 86628213760.

The previous prime is 87782807669. The next prime is 87782807689. The reversal of 87782807677 is 77670828778.

It is a cyclic number.

It is not a de Polignac number, because 87782807677 - 2³ = 87782807669 is a prime.

It is a super-3 number, since 3×87782807677³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87782807657) 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 15 ways as a sum of consecutive naturals, for example, 16778652 + ... + 16783882.

It is an arithmetic number, because the mean of its divisors is an integer number (5559162192).

Almost surely, 2^87782807677 is an apocalyptic number.

It is an amenable number.

87782807677 is a deficient number, since it is larger than the sum of its proper divisors (1163787395).

87782807677 is a wasteful number, since it uses less digits than its factorization.

87782807677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068.

The product of its (nonzero) digits is 103262208, while the sum is 67.

The spelling of 87782807677 in words is "eighty-seven billion, seven hundred eighty-two million, eight hundred seven thousand, six hundred seventy-seven".