677856 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 215424.

The previous prime is 677827. The next prime is 677857. The reversal of 677856 is 658776.

677856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2055 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁶⁷⁷⁸⁵⁶ 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 677856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

677856 is an abundant number, since it is smaller than the sum of its proper divisors (1184928).

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

677856 is a wasteful number, since it uses less digits than its factorization.

677856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 677856 is about 823.3201078560. The cubic root of 677856 is about 87.8440765060.

The spelling of 677856 in words is "six hundred seventy-seven thousand, eight hundred fifty-six".