871992000 has 448 divisors, whose sum is σ = 3499591680. Its totient is φ = 210816000.

The previous prime is 871991983. The next prime is 871992019. The reversal of 871992000 is 299178.

It is a happy number.

871992000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2375817 + ... + 2376183.

Almost surely, 2^871992000 is an apocalyptic number.

871992000 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 871992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749795840).

871992000 is an abundant number, since it is smaller than the sum of its proper divisors (2627599680).

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

871992000 is a wasteful number, since it uses less digits than its factorization.

871992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 871992000 is about 29529.5106630638. The cubic root of 871992000 is about 955.3683145735.

The spelling of 871992000 in words is "eight hundred seventy-one million, nine hundred ninety-two thousand".