213772800 has 240 divisors, whose sum is σ = 745889760. Its totient is φ = 53821440.

The previous prime is 213772799. The next prime is 213772831. The reversal of 213772800 is 8277312.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729454 + ... + 729746.

It is an arithmetic number, because the mean of its divisors is an integer number (3107874).

Almost surely, 2^213772800 is an apocalyptic number.

213772800 is a gapful number since it is divisible by the number (20) 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 213772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372944880).

213772800 is an abundant number, since it is smaller than the sum of its proper divisors (532116960).

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

213772800 is a wasteful number, since it uses less digits than its factorization.

213772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 213772800 is about 14620.9712399690. The cubic root of 213772800 is about 597.9306489599.

The spelling of 213772800 in words is "two hundred thirteen million, seven hundred seventy-two thousand, eight hundred".