871370400 has 288 divisors, whose sum is σ = 3031680960. Its totient is φ = 216760320.

The previous prime is 871370399. The next prime is 871370441. The reversal of 871370400 is 4073178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 4423102 + ... + 4423298.

It is an arithmetic number, because the mean of its divisors is an integer number (10526670).

Almost surely, 2^871370400 is an apocalyptic number.

871370400 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 871370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515840480).

871370400 is an abundant number, since it is smaller than the sum of its proper divisors (2160310560).

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

871370400 is a wasteful number, since it uses less digits than its factorization.

871370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 871370400 is about 29518.9837223438. The cubic root of 871370400 is about 955.1412489924.

The spelling of 871370400 in words is "eight hundred seventy-one million, three hundred seventy thousand, four hundred".