330740800 has 84 divisors (see below), whose sum is σ = 876486436. Its totient is φ = 122112000.

The previous prime is 330740789. The next prime is 330740801. The reversal of 330740800 is 8047033.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 330657856 = 288^2 + 18184^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12850 + ... + 28750.

Almost surely, 2^330740800 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 330740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438243218).

330740800 is an abundant number, since it is smaller than the sum of its proper divisors (545745636).

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

330740800 is a wasteful number, since it uses less digits than its factorization.

330740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 330740800 is about 18186.2805433107. The cubic root of 330740800 is about 691.5590316535.

Adding to 330740800 its reverse (8047033), we get a palindrome (338787833).

The spelling of 330740800 in words is "three hundred thirty million, seven hundred forty thousand, eight hundred".