330777000 has 128 divisors (see below), whose sum is σ = 1146787200. Its totient is φ = 88200000.

The previous prime is 330776993. The next prime is 330777011. The reversal of 330777000 is 777033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20875 + ... + 33125.

It is an arithmetic number, because the mean of its divisors is an integer number (8959275).

Almost surely, 2^330777000 is an apocalyptic number.

330777000 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 330777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573393600).

330777000 is an abundant number, since it is smaller than the sum of its proper divisors (816010200).

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

330777000 is a wasteful number, since it uses less digits than its factorization.

330777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 3087, while the sum is 27.

The square root of 330777000 is about 18187.2757718137. The cubic root of 330777000 is about 691.5842614040.

The spelling of 330777000 in words is "three hundred thirty million, seven hundred seventy-seven thousand".