687777168 has 80 divisors (see below), whose sum is σ = 1931501376. Its totient is φ = 209625600.

The previous prime is 687777157. The next prime is 687777169. The reversal of 687777168 is 861777786.

It is a happy number.

687777168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (687777169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61618 + ... + 71918.

Almost surely, 2^687777168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687777168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965750688).

687777168 is an abundant number, since it is smaller than the sum of its proper divisors (1243724208).

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

687777168 is a wasteful number, since it uses less digits than its factorization.

687777168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432 (or 10426 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 57.

The square root of 687777168 is about 26225.5060580344. The cubic root of 687777168 is about 882.7056739069.

The spelling of 687777168 in words is "six hundred eighty-seven million, seven hundred seventy-seven thousand, one hundred sixty-eight".