677844 has 36 divisors (see below), whose sum is σ = 1805440. Its totient is φ = 213840.

The previous prime is 677827. The next prime is 677857. The reversal of 677844 is 448776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 677799 and 677808.

It is a congruent number.

It is an unprimeable number.

677844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 1179.

2⁶⁷⁷⁸⁴⁴ 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 677844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902720).

677844 is an abundant number, since it is smaller than the sum of its proper divisors (1127596).

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

677844 is a wasteful number, since it uses less digits than its factorization.

677844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1015 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 677844 is about 823.3128202573. The cubic root of 677844 is about 87.8435581387.

It can be divided in two parts, 677 and 844, that added together give a square (1521 = 39²).

The spelling of 677844 in words is "six hundred seventy-seven thousand, eight hundred forty-four".