9776870400 has 528 divisors, whose sum is σ = 35966412288. Its totient is φ = 2322432000.

The previous prime is 9776870297. The next prime is 9776870419. The reversal of 9776870400 is 40786779.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9776870400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59980719 + ... + 59980881.

Almost surely, 2^9776870400 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 9776870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983206144).

9776870400 is an abundant number, since it is smaller than the sum of its proper divisors (26189541888).

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

9776870400 is a wasteful number, since it uses less digits than its factorization.

9776870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 9776870400 is about 98878.0582333614. The cubic root of 9776870400 is about 2138.2900714652.

The spelling of 9776870400 in words is "nine billion, seven hundred seventy-six million, eight hundred seventy thousand, four hundred".