871703406720 has 512 divisors, whose sum is σ = 3124824998400. Its totient is φ = 229642076160.

The previous prime is 871703406667. The next prime is 871703406731. The reversal of 871703406720 is 27604307178.

871703406720 is a `hidden beast` number, since 8 + 7 + 170 + 3 + 406 + 72 + 0 = 666.

It is a super-3 number, since 3×871703406720³ (a number of 37 digits) contains 333 as substring.

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

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, 845492605 + ... + 845493635.

It is an arithmetic number, because the mean of its divisors is an integer number (6103173825).

Almost surely, 2^871703406720 is an apocalyptic number.

871703406720 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 871703406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562412499200).

871703406720 is an abundant number, since it is smaller than the sum of its proper divisors (2253121591680).

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

871703406720 is a wasteful number, since it uses less digits than its factorization.

871703406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 871703406720 in words is "eight hundred seventy-one billion, seven hundred three million, four hundred six thousand, seven hundred twenty".