9876578400 has 576 divisors, whose sum is σ = 40750516800. Its totient is φ = 2287042560.

The previous prime is 9876578357. The next prime is 9876578431. The reversal of 9876578400 is 48756789.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 4772566 + ... + 4774634.

It is an arithmetic number, because the mean of its divisors is an integer number (70747425).

Almost surely, 2^9876578400 is an apocalyptic number.

9876578400 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 9876578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375258400).

9876578400 is an abundant number, since it is smaller than the sum of its proper divisors (30873938400).

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

9876578400 is a wasteful number, since it uses less digits than its factorization.

9876578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 9876578400 is about 99380.9760467264. The cubic root of 9876578400 is about 2145.5345139641.

The spelling of 9876578400 in words is "nine billion, eight hundred seventy-six million, five hundred seventy-eight thousand, four hundred".