871378560 has 384 divisors, whose sum is σ = 3368252160. Its totient is φ = 213995520.

The previous prime is 871378511. The next prime is 871378561. The reversal of 871378560 is 65873178.

871378560 is a `hidden beast` number, since 8 + 7 + 13 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (871378561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021545 + ... + 2021975.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2^871378560 is an apocalyptic number.

871378560 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 871378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

871378560 is an abundant number, since it is smaller than the sum of its proper divisors (2496873600).

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

871378560 is a wasteful number, since it uses less digits than its factorization.

871378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 871378560 is about 29519.1219381607. The cubic root of 871378560 is about 955.1442304754.

The spelling of 871378560 in words is "eight hundred seventy-one million, three hundred seventy-eight thousand, five hundred sixty".