877344 has 96 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 248832.

The previous prime is 877343. The next prime is 877351. The reversal of 877344 is 443778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23694 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁸⁷⁷³⁴⁴ 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 877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

877344 is an abundant number, since it is smaller than the sum of its proper divisors (1803936).

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

877344 is a wasteful number, since it uses less digits than its factorization.

877344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 877344 is about 936.6664294187. Note that the first 3 decimals coincide. The cubic root of 877344 is about 95.7318908095.

It can be divided in two parts, 877 and 344, that added together give a palindrome (1221).

The spelling of 877344 in words is "eight hundred seventy-seven thousand, three hundred forty-four".