871128720 has 480 divisors, whose sum is σ = 3844039680. Its totient is φ = 171279360.

The previous prime is 871128689. The next prime is 871128733. The reversal of 871128720 is 27821178.

It is a happy number.

It is a super-3 number, since 3×871128720³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1052947 + ... + 1053773.

It is an arithmetic number, because the mean of its divisors is an integer number (8008416).

Almost surely, 2^871128720 is an apocalyptic number.

871128720 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 871128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922019840).

871128720 is an abundant number, since it is smaller than the sum of its proper divisors (2972910960).

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

871128720 is a wasteful number, since it uses less digits than its factorization.

871128720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 871128720 is about 29514.8898015900. The cubic root of 871128720 is about 955.0529360385.

Adding to 871128720 its reverse (27821178), we get a palindrome (898949898).

The spelling of 871128720 in words is "eight hundred seventy-one million, one hundred twenty-eight thousand, seven hundred twenty".