330876000 has 576 divisors, whose sum is σ = 1459575936. Its totient is φ = 69120000.

The previous prime is 330875983. The next prime is 330876011. The reversal of 330876000 is 678033.

It is a happy number.

330876000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275950 + ... + 3276050.

It is an arithmetic number, because the mean of its divisors is an integer number (2533986).

Almost surely, 2^330876000 is an apocalyptic number.

330876000 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 330876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729787968).

330876000 is an abundant number, since it is smaller than the sum of its proper divisors (1128699936).

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

330876000 is a wasteful number, since it uses less digits than its factorization.

330876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 330876000 is about 18189.9972512367. The cubic root of 330876000 is about 691.6532504938.

The spelling of 330876000 in words is "three hundred thirty million, eight hundred seventy-six thousand".