677832008 has 128 divisors (see below), whose sum is σ = 1562803200. Its totient is φ = 269568000.

The previous prime is 677831983. The next prime is 677832013. The reversal of 677832008 is 800238776.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6711158 + ... + 6711258.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^677832008 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 677832008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600).

677832008 is an abundant number, since it is smaller than the sum of its proper divisors (884971192).

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

677832008 is a wasteful number, since it uses less digits than its factorization.

677832008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 677832008 is about 26035.2070857906. The cubic root of 677832008 is about 878.4304011086.

The spelling of 677832008 in words is "six hundred seventy-seven million, eight hundred thirty-two thousand, eight".