329880720 has 160 divisors (see below), whose sum is σ = 1149426432. Its totient is φ = 77654016.

The previous prime is 329880689. The next prime is 329880721. The reversal of 329880720 is 27088923.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (329880721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69462 + ... + 74058.

Almost surely, 2^329880720 is an apocalyptic number.

329880720 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 329880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574713216).

329880720 is an abundant number, since it is smaller than the sum of its proper divisors (819545712).

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

329880720 is a wasteful number, since it uses less digits than its factorization.

329880720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 329880720 is about 18162.6187539132. The cubic root of 329880720 is about 690.9590528379.

The spelling of 329880720 in words is "three hundred twenty-nine million, eight hundred eighty thousand, seven hundred twenty".