877312 has 36 divisors (see below), whose sum is σ = 1839600. Its totient is φ = 416768.

The previous prime is 877301. The next prime is 877313. The reversal of 877312 is 213778.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (877313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5814 + ... + 5962.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

2⁸⁷⁷³¹² 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 877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919800).

877312 is an abundant number, since it is smaller than the sum of its proper divisors (962288).

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

877312 is a wasteful number, since it uses less digits than its factorization.

877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 877312 is about 936.6493474081. The cubic root of 877312 is about 95.7307268959.

The spelling of 877312 in words is "eight hundred seventy-seven thousand, three hundred twelve".