871973280 has 144 divisors (see below), whose sum is σ = 3005009280. Its totient is φ = 230229504.

The previous prime is 871973273. The next prime is 871973287. The reversal of 871973280 is 82379178.

It is an interprime number because it is at equal distance from previous prime (871973273) and next prime (871973287).

It is a tau number, because it is divible by the number of its divisors (144).

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 (871973287) 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, 145381 + ... + 151259.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^871973280 is an apocalyptic number.

871973280 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 871973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502504640).

871973280 is an abundant number, since it is smaller than the sum of its proper divisors (2133036000).

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

871973280 is a wasteful number, since it uses less digits than its factorization.

871973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 871973280 is about 29529.1936903126. The cubic root of 871973280 is about 955.3614778812.

The spelling of 871973280 in words is "eight hundred seventy-one million, nine hundred seventy-three thousand, two hundred eighty".