326980800 has 378 divisors, whose sum is σ = 1248202228. Its totient is φ = 84188160.

The previous prime is 326980769. The next prime is 326980807. The reversal of 326980800 is 8089623.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (326980807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11275186 + ... + 11275214.

Almost surely, 2^326980800 is an apocalyptic number.

326980800 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 326980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624101114).

326980800 is an abundant number, since it is smaller than the sum of its proper divisors (921221428).

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

326980800 is an equidigital number, since it uses as much as digits as its factorization.

326980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 326980800 is about 18082.6104310191. The cubic root of 326980800 is about 688.9283933102.

The spelling of 326980800 in words is "three hundred twenty-six million, nine hundred eighty thousand, eight hundred".