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9878400 = 27325273

9878400 has 288 divisors, whose sum is σ = 41106000. Its totient is φ = 2257920.

The previous prime is 9878399. The next prime is 9878419. The reversal of 9878400 is 48789.

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 is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1411197 + ... + 1411203.

Almost surely, 29878400 is an apocalyptic number.

9878400 is a gapful number since it is divisible by the number (90) 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 9878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553000).

9878400 is an abundant number, since it is smaller than the sum of its proper divisors (31227600).

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

9878400 is a wasteful number, since it uses less digits than its factorization.

9878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9878400 is about 3142.9922048901. The cubic root of 9878400 is about 214.5666410702.

The spelling of 9878400 in words is "nine million, eight hundred seventy-eight thousand, four hundred".