323125760 has 80 divisors (see below), whose sum is σ = 782300376. Its totient is φ = 127991808.

The previous prime is 323125753. The next prime is 323125787. The reversal of 323125760 is 67521323.

It can be written as a sum of positive squares in 4 ways, for example, as 72726784 + 250398976 = 8528^2 + 15824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288722 + ... + 289838.

Almost surely, 2^323125760 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 323125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391150188).

323125760 is an abundant number, since it is smaller than the sum of its proper divisors (459174616).

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

323125760 is a wasteful number, since it uses less digits than its factorization.

323125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 323125760 is about 17975.6991519106. The cubic root of 323125760 is about 686.2102390912.

The spelling of 323125760 in words is "three hundred twenty-three million, one hundred twenty-five thousand, seven hundred sixty".