867782106768 has 80 divisors (see below), whose sum is σ = 2339460264960. Its totient is φ = 276657946752.

The previous prime is 867782106749. The next prime is 867782106769. The reversal of 867782106768 is 867601287768.

It is a junction number, because it is equal to n+sod(n) for n = 867782106699 and 867782106708.

It is not an unprimeable number, because it can be changed into a prime (867782106769) 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, 14033005 + ... + 14094707.

It is an arithmetic number, because the mean of its divisors is an integer number (29243253312).

Almost surely, 2^867782106768 is an apocalyptic number.

It is an amenable number.

867782106768 is an abundant number, since it is smaller than the sum of its proper divisors (1471678158192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

867782106768 is a wasteful number, since it uses less digits than its factorization.

867782106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74476 (or 74470 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 66.

The spelling of 867782106768 in words is "eight hundred sixty-seven billion, seven hundred eighty-two million, one hundred six thousand, seven hundred sixty-eight".