8784228992400 has 405 divisors, whose sum is σ = 31175767050753. Its totient is φ = 2290440096000.

The previous prime is 8784228992389. The next prime is 8784228992431. The reversal of 8784228992400 is 42998224878.

The square root of 8784228992400 is 2963820.

It is a perfect power (a square), and thus also a powerful number.

8784228992400 is a `hidden beast` number, since 8 + 7 + 8 + 422 + 89 + 92 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3162322437264 + 5621906555136 = 1778292^2 + 2371056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8357971875 + ... + 8357972925.

Almost surely, 2^{8784228992400} is an apocalyptic number.

8784228992400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8784228992400 is the 2963820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8784228992400

8784228992400 is an abundant number, since it is smaller than the sum of its proper divisors (22391538058353).

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

8784228992400 is a wasteful number, since it uses less digits than its factorization.

8784228992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8784228992400 in words is "eight trillion, seven hundred eighty-four billion, two hundred twenty-eight million, nine hundred ninety-two thousand, four hundred".