330776640 has 168 divisors, whose sum is σ = 1164628608. Its totient is φ = 86123520.

The previous prime is 330776629. The next prime is 330776653. The reversal of 330776640 is 46677033.

330776640 is a `hidden beast` number, since 3 + 3 + 0 + 7 + 7 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 330776595 and 330776604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122505 + ... + 125175.

Almost surely, 2^330776640 is an apocalyptic number.

330776640 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 330776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582314304).

330776640 is an abundant number, since it is smaller than the sum of its proper divisors (833851968).

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

330776640 is a wasteful number, since it uses less digits than its factorization.

330776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 330776640 is about 18187.2658747817. The cubic root of 330776640 is about 691.5840105095.

The spelling of 330776640 in words is "three hundred thirty million, seven hundred seventy-six thousand, six hundred forty".