530812800 has 288 divisors, whose sum is σ = 2165464080. Its totient is φ = 121282560.

The previous prime is 530812787. The next prime is 530812817. The reversal of 530812800 is 8218035.

It is a happy number.

530812800 is a `hidden beast` number, since 530 + 8 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200284 + ... + 202916.

Almost surely, 2^530812800 is an apocalyptic number.

530812800 is a gapful number since it is divisible by the number (50) 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 530812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082732040).

530812800 is an abundant number, since it is smaller than the sum of its proper divisors (1634651280).

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

530812800 is a wasteful number, since it uses less digits than its factorization.

530812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 530812800 is about 23039.3749915227. The cubic root of 530812800 is about 809.6807154966.

The spelling of 530812800 in words is "five hundred thirty million, eight hundred twelve thousand, eight hundred".