871685280 has 384 divisors, whose sum is σ = 3297853440. Its totient is φ = 214410240.

The previous prime is 871685279. The next prime is 871685299. The reversal of 871685280 is 82586178.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3080019 + ... + 3080301.

It is an arithmetic number, because the mean of its divisors is an integer number (8588160).

Almost surely, 2^871685280 is an apocalyptic number.

871685280 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 871685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648926720).

871685280 is an abundant number, since it is smaller than the sum of its proper divisors (2426168160).

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

871685280 is a wasteful number, since it uses less digits than its factorization.

871685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 871685280 is about 29524.3167575475. The cubic root of 871685280 is about 955.2562856659.

The spelling of 871685280 in words is "eight hundred seventy-one million, six hundred eighty-five thousand, two hundred eighty".