330801120 has 288 divisors, whose sum is σ = 1248234624. Its totient is φ = 79257600.

The previous prime is 330801089. The next prime is 330801131. The reversal of 330801120 is 21108033.

330801120 = T₄₀₉ + T₄₁₀ + ... + T₁₂₇₀.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330801093 and 330801102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767305 + ... + 767735.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2^330801120 is an apocalyptic number.

330801120 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 330801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

330801120 is an abundant number, since it is smaller than the sum of its proper divisors (917433504).

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

330801120 is a wasteful number, since it uses less digits than its factorization.

330801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 330801120 is about 18187.9388606846. The cubic root of 330801120 is about 691.6010709232.

Adding to 330801120 its reverse (21108033), we get a palindrome (351909153).

The spelling of 330801120 in words is "three hundred thirty million, eight hundred one thousand, one hundred twenty".