9780256400 has 120 divisors (see below), whose sum is σ = 24953402880. Its totient is φ = 3671009280.

The previous prime is 9780256393. The next prime is 9780256429. The reversal of 9780256400 is 46520879.

9780256400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493641 + ... + 2497559.

It is an arithmetic number, because the mean of its divisors is an integer number (207945024).

Almost surely, 2^9780256400 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 9780256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476701440).

9780256400 is an abundant number, since it is smaller than the sum of its proper divisors (15173146480).

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

9780256400 is a wasteful number, since it uses less digits than its factorization.

9780256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 9780256400 is about 98895.1788511452. The cubic root of 9780256400 is about 2138.5368925922.

The spelling of 9780256400 in words is "nine billion, seven hundred eighty million, two hundred fifty-six thousand, four hundred".