677808 has 50 divisors (see below), whose sum is σ = 1965524. Its totient is φ = 225504.

The previous prime is 677791. The next prime is 677813. The reversal of 677808 is 808776.

It is a happy number.

677808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1035 + ... + 1557.

2⁶⁷⁷⁸⁰⁸ 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 677808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982762).

677808 is an abundant number, since it is smaller than the sum of its proper divisors (1287716).

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

677808 is a wasteful number, since it uses less digits than its factorization.

677808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 677808 is about 823.2909570741. The cubic root of 677808 is about 87.8420030001.

It can be divided in two parts, 677 and 808, that added together give a triangular number (1485 = T₅₄).

The spelling of 677808 in words is "six hundred seventy-seven thousand, eight hundred eight".