677854008 has 160 divisors (see below), whose sum is σ = 2076911760. Its totient is φ = 205286400.

The previous prime is 677854003. The next prime is 677854027. The reversal of 677854008 is 800458776.

677854008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677854003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563808 + ... + 565008.

Almost surely, 2^677854008 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 677854008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038455880).

677854008 is an abundant number, since it is smaller than the sum of its proper divisors (1399057752).

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

677854008 is a wasteful number, since it uses less digits than its factorization.

677854008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 677854008 is about 26035.6295871638. The cubic root of 677854008 is about 878.4399045743.

The spelling of 677854008 in words is "six hundred seventy-seven million, eight hundred fifty-four thousand, eight".