325930800 has 240 divisors, whose sum is σ = 1191486240. Its totient is φ = 75448320.

The previous prime is 325930763. The next prime is 325930823. The reversal of 325930800 is 8039523.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264586 + ... + 265814.

It is an arithmetic number, because the mean of its divisors is an integer number (4964526).

Almost surely, 2^325930800 is an apocalyptic number.

325930800 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 325930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595743120).

325930800 is an abundant number, since it is smaller than the sum of its proper divisors (865555440).

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

325930800 is a wasteful number, since it uses less digits than its factorization.

325930800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 325930800 is about 18053.5536667992. The cubic root of 325930800 is about 688.1901741271.

It can be divided in two parts, 3 and 25930800, that multiplied together give a square (77792400 = 8820²).

The spelling of 325930800 in words is "three hundred twenty-five million, nine hundred thirty thousand, eight hundred".