871287840 has 480 divisors, whose sum is σ = 3337044480. Its totient is φ = 213497856.

The previous prime is 871287821. The next prime is 871287841. The reversal of 871287840 is 48782178.

871287840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (871287841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11028921 + ... + 11028999.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^871287840 is an apocalyptic number.

871287840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668522240).

871287840 is an abundant number, since it is smaller than the sum of its proper divisors (2465756640).

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

871287840 is a wasteful number, since it uses less digits than its factorization.

871287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 871287840 is about 29517.5852670912. The cubic root of 871287840 is about 955.1110823521. Note that the first 3 decimals are identical.

The spelling of 871287840 in words is "eight hundred seventy-one million, two hundred eighty-seven thousand, eight hundred forty".