325740800 has 216 divisors, whose sum is σ = 1006727232. Its totient is φ = 101376000.

The previous prime is 325740797. The next prime is 325740803. The reversal of 325740800 is 8047523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (325740797) and next prime (325740803).

It is a super-2 number, since 2×325740800² = 212214137569280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (325740803) by changing a digit.

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, 492470 + ... + 493130.

Almost surely, 2^325740800 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 325740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503363616).

325740800 is an abundant number, since it is smaller than the sum of its proper divisors (680986432).

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

325740800 is a wasteful number, since it uses less digits than its factorization.

325740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 325740800 is about 18048.2907777994. The cubic root of 325740800 is about 688.0564222702.

The spelling of 325740800 in words is "three hundred twenty-five million, seven hundred forty thousand, eight hundred".