871776 has 48 divisors (see below), whose sum is σ = 2545200. Its totient is φ = 290304.

The previous prime is 871771. The next prime is 871789. The reversal of 871776 is 677178.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 871776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871771) by changing a digit.

871776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (53025).

2⁸⁷¹⁷⁷⁶ 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 871776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272600).

871776 is an abundant number, since it is smaller than the sum of its proper divisors (1673424).

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

871776 is a wasteful number, since it uses less digits than its factorization.

871776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 871776 is about 933.6894558685. The cubic root of 871776 is about 95.5289423713.

The spelling of 871776 in words is "eight hundred seventy-one thousand, seven hundred seventy-six".