325777920 has 240 divisors, whose sum is σ = 1132240032. Its totient is φ = 79872000.

The previous prime is 325777901. The next prime is 325777931. The reversal of 325777920 is 29777523.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×325777920² = 212262506319052800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1297795 + ... + 1298045.

Almost surely, 2^325777920 is an apocalyptic number.

325777920 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 325777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566120016).

325777920 is an abundant number, since it is smaller than the sum of its proper divisors (806462112).

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

325777920 is a wasteful number, since it uses less digits than its factorization.

325777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 325777920 is about 18049.3191007306. The cubic root of 325777920 is about 688.0825572465.

The spelling of 325777920 in words is "three hundred twenty-five million, seven hundred seventy-seven thousand, nine hundred twenty".