330761000 has 64 divisors (see below), whose sum is σ = 777001680. Its totient is φ = 131788800.

The previous prime is 330760957. The next prime is 330761017. The reversal of 330761000 is 167033.

It can be written as a sum of positive squares in 8 ways, for example, as 6832996 + 323928004 = 2614^2 + 17998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 352532 + ... + 353468.

Almost surely, 2^330761000 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 330761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388500840).

330761000 is an abundant number, since it is smaller than the sum of its proper divisors (446240680).

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

330761000 is a wasteful number, since it uses less digits than its factorization.

330761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 330761000 is about 18186.8358985284. The cubic root of 330761000 is about 691.5731103601.

The spelling of 330761000 in words is "three hundred thirty million, seven hundred sixty-one thousand".