325756080 has 240 divisors, whose sum is σ = 1222734240. Its totient is φ = 80123904.

The previous prime is 325756049. The next prime is 325756087. The reversal of 325756080 is 80657523.

325756080 is a `hidden beast` number, since 3 + 2 + 575 + 6 + 0 + 80 = 666.

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

It is a super-2 number, since 2×325756080² = 212234047313932800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325756087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 252076 + ... + 253364.

It is an arithmetic number, because the mean of its divisors is an integer number (5094726).

Almost surely, 2^325756080 is an apocalyptic number.

325756080 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 325756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611367120).

325756080 is an abundant number, since it is smaller than the sum of its proper divisors (896978160).

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

325756080 is a wasteful number, since it uses less digits than its factorization.

325756080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 325756080 is about 18048.7140816181. The cubic root of 325756080 is about 688.0671806582.

The spelling of 325756080 in words is "three hundred twenty-five million, seven hundred fifty-six thousand, eighty".