871970400 has 576 divisors, whose sum is σ = 3699763200. Its totient is φ = 194088960.

The previous prime is 871970389. The next prime is 871970419. The reversal of 871970400 is 4079178.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11037561 + ... + 11037639.

It is an arithmetic number, because the mean of its divisors is an integer number (6423200).

Almost surely, 2^871970400 is an apocalyptic number.

871970400 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 871970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849881600).

871970400 is an abundant number, since it is smaller than the sum of its proper divisors (2827792800).

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

871970400 is a wasteful number, since it uses less digits than its factorization.

871970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 871970400 is about 29529.1449249720. The cubic root of 871970400 is about 955.3604260738.

The spelling of 871970400 in words is "eight hundred seventy-one million, nine hundred seventy thousand, four hundred".