871302120 has 256 divisors, whose sum is σ = 2980454400. Its totient is φ = 202245120.

The previous prime is 871302119. The next prime is 871302137. The reversal of 871302120 is 21203178.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079271 + ... + 2079689.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^871302120 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 871302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

871302120 is an abundant number, since it is smaller than the sum of its proper divisors (2109152280).

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

871302120 is a wasteful number, since it uses less digits than its factorization.

871302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 871302120 is about 29517.8271558054. The cubic root of 871302120 is about 955.1163002648.

Adding to 871302120 its reverse (21203178), we get a palindrome (892505298).

The spelling of 871302120 in words is "eight hundred seventy-one million, three hundred two thousand, one hundred twenty".