871948800 has 450 divisors, whose sum is σ = 3342264783. Its totient is φ = 224501760.

The previous prime is 871948789. The next prime is 871948871. The reversal of 871948800 is 8849178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 334450944 + 537497856 = 18288^2 + 23184^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20880.

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 (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30067186 + ... + 30067214.

Almost surely, 2^871948800 is an apocalyptic number.

871948800 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 871948800

871948800 is an abundant number, since it is smaller than the sum of its proper divisors (2470315983).

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

871948800 is an equidigital number, since it uses as much as digits as its factorization.

871948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 871948800 is about 29528.7791823502. The cubic root of 871948800 is about 955.3525374437.

The spelling of 871948800 in words is "eight hundred seventy-one million, nine hundred forty-eight thousand, eight hundred".