9978782400 has 252 divisors, whose sum is σ = 37554161112. Its totient is φ = 2504417280.

The previous prime is 9978782357. The next prime is 9978782441. The reversal of 9978782400 is 42878799.

9978782400 is a `hidden beast` number, since 99 + 78 + 7 + 82 + 400 = 666.

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, 224419 + ... + 265181.

Almost surely, 2^9978782400 is an apocalyptic number.

9978782400 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 9978782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18777080556).

9978782400 is an abundant number, since it is smaller than the sum of its proper divisors (27575378712).

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

9978782400 is a wasteful number, since it uses less digits than its factorization.

9978782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40808 (or 40790 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9978782400 is about 99893.8556669028. The cubic root of 9978782400 is about 2152.9098799799.

The spelling of 9978782400 in words is "nine billion, nine hundred seventy-eight million, seven hundred eighty-two thousand, four hundred".