677840 has 40 divisors (see below), whose sum is σ = 1625640. Its totient is φ = 262656.

The previous prime is 677827. The next prime is 677857. The reversal of 677840 is 48776.

677840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 322624 = 596^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 677797 and 677806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (40641).

2⁶⁷⁷⁸⁴⁰ 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 677840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812820).

677840 is an abundant number, since it is smaller than the sum of its proper divisors (947800).

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

677840 is a wasteful number, since it uses less digits than its factorization.

677840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 677840 is about 823.3103910434. The cubic root of 677840 is about 87.8433853482.

The spelling of 677840 in words is "six hundred seventy-seven thousand, eight hundred forty".