9926782800 has 480 divisors, whose sum is σ = 37941571584. Its totient is φ = 2190336000.

The previous prime is 9926782751. The next prime is 9926782823. The reversal of 9926782800 is 82876299.

It is a happy number.

It is a super-3 number, since 3×9926782800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955687 + ... + 6957113.

Almost surely, 2^9926782800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9926782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970785792).

9926782800 is an abundant number, since it is smaller than the sum of its proper divisors (28014788784).

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

9926782800 is a wasteful number, since it uses less digits than its factorization.

9926782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 9926782800 is about 99633.2414407963. The cubic root of 9926782800 is about 2149.1637490535.

The spelling of 9926782800 in words is "nine billion, nine hundred twenty-six million, seven hundred eighty-two thousand, eight hundred".