871020000 has 240 divisors, whose sum is σ = 3176545680. Its totient is φ = 232128000.

The previous prime is 871019957. The next prime is 871020043. The reversal of 871020000 is 20178.

It is an interprime number because it is at equal distance from previous prime (871019957) and next prime (871020043).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 539194 + ... + 540806.

It is an arithmetic number, because the mean of its divisors is an integer number (13235607).

Almost surely, 2^871020000 is an apocalyptic number.

871020000 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 871020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588272840).

871020000 is an abundant number, since it is smaller than the sum of its proper divisors (2305525680).

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

871020000 is a wasteful number, since it uses less digits than its factorization.

871020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 871020000 is about 29513.0479618761. The cubic root of 871020000 is about 955.0132030374.

Adding to 871020000 its reverse (20178), we get a palindrome (871040178).

The spelling of 871020000 in words is "eight hundred seventy-one million, twenty thousand".