213756800 has 96 divisors (see below), whose sum is σ = 536464920. Its totient is φ = 84142080.

The previous prime is 213756757. The next prime is 213756817. The reversal of 213756800 is 8657312.

It is a happy number.

213756800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213902 + ... + 214898.

Almost surely, 2^213756800 is an apocalyptic number.

213756800 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 213756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268232460).

213756800 is an abundant number, since it is smaller than the sum of its proper divisors (322708120).

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

213756800 is an equidigital number, since it uses as much as digits as its factorization.

213756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 213756800 is about 14620.4240704571. The cubic root of 213756800 is about 597.9157310516.

The spelling of 213756800 in words is "two hundred thirteen million, seven hundred fifty-six thousand, eight hundred".