871434800 has 90 divisors (see below), whose sum is σ = 2164291164. Its totient is φ = 337180800.

The previous prime is 871434797. The next prime is 871434803. The reversal of 871434800 is 8434178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (871434797) and next prime (871434803).

It is a super-2 number, since 2×871434800² = 1518797221302080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (871434803) 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 17 ways as a sum of consecutive naturals, for example, 383267 + ... + 385533.

Almost surely, 2^871434800 is an apocalyptic number.

871434800 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 871434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082145582).

871434800 is an abundant number, since it is smaller than the sum of its proper divisors (1292856364).

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

871434800 is a wasteful number, since it uses less digits than its factorization.

871434800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 871434800 is about 29520.0745256512. The cubic root of 871434800 is about 955.1647788182.

Adding to 871434800 its reverse (8434178), we get a palindrome (879868978).

The spelling of 871434800 in words is "eight hundred seventy-one million, four hundred thirty-four thousand, eight hundred".