330842880 has 180 divisors, whose sum is σ = 1184187312. Its totient is φ = 88197120.

The previous prime is 330842861. The next prime is 330842887. The reversal of 330842880 is 88248033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×330842880² = 218914022493388800, which contains 22 as substring.

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 (330842887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102085 + ... + 105275.

Almost surely, 2^330842880 is an apocalyptic number.

330842880 is a gapful number since it is divisible by the number (30) 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 330842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592093656).

330842880 is an abundant number, since it is smaller than the sum of its proper divisors (853344432).

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

330842880 is an equidigital number, since it uses as much as digits as its factorization.

330842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 330842880 is about 18189.0868379916. The cubic root of 330842880 is about 691.6301720394.

The spelling of 330842880 in words is "three hundred thirty million, eight hundred forty-two thousand, eight hundred eighty".