871766448 has 120 divisors (see below), whose sum is σ = 2710295280. Its totient is φ = 240468480.

The previous prime is 871766431. The next prime is 871766449. The reversal of 871766448 is 844667178.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 871766448.

It is not an unprimeable number, because it can be changed into a prime (871766449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61818 + ... + 74598.

It is an arithmetic number, because the mean of its divisors is an integer number (22585794).

Almost surely, 2^871766448 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 871766448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355147640).

871766448 is an abundant number, since it is smaller than the sum of its proper divisors (1838528832).

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

871766448 is a wasteful number, since it uses less digits than its factorization.

871766448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12822 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 871766448 is about 29525.6913212883. The cubic root of 871766448 is about 955.2859346831.

The spelling of 871766448 in words is "eight hundred seventy-one million, seven hundred sixty-six thousand, four hundred forty-eight".