9327052800 has 720 divisors, whose sum is σ = 37417800420. Its totient is φ = 2282618880.

The previous prime is 9327052769. The next prime is 9327052807. The reversal of 9327052800 is 82507239.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3763086336 + 5563966464 = 61344^2 + 74592^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9327052807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913514 + ... + 53913686.

Almost surely, 2^9327052800 is an apocalyptic number.

9327052800 is a gapful number since it is divisible by the number (90) 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 9327052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708900210).

9327052800 is an abundant number, since it is smaller than the sum of its proper divisors (28090747620).

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

9327052800 is a wasteful number, since it uses less digits than its factorization.

9327052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9327052800 is about 96576.6679897376. The cubic root of 9327052800 is about 2104.9808300697.

It can be divided in two parts, 93270 and 52800, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 9327052800 in words is "nine billion, three hundred twenty-seven million, fifty-two thousand, eight hundred".