677287808 has 64 divisors (see below), whose sum is σ = 1456682400. Its totient is φ = 312711168.

The previous prime is 677287801. The next prime is 677287811. The reversal of 677287808 is 808782776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 677287808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677287801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81410 + ... + 89342.

Almost surely, 2^677287808 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 677287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728341200).

677287808 is an abundant number, since it is smaller than the sum of its proper divisors (779394592).

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

677287808 is a wasteful number, since it uses less digits than its factorization.

677287808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 53.

The square root of 677287808 is about 26024.7537548389. The cubic root of 677287808 is about 878.1952544409.

The spelling of 677287808 in words is "six hundred seventy-seven million, two hundred eighty-seven thousand, eight hundred eight".