213742800 has 210 divisors, whose sum is σ = 770973782. Its totient is φ = 56920320.

The previous prime is 213742757. The next prime is 213742811. The reversal of 213742800 is 8247312.

It can be written as a sum of positive squares in 3 ways, for example, as 62157456 + 151585344 = 7884^2 + 12312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291234 + ... + 291966.

Almost surely, 2^213742800 is an apocalyptic number.

213742800 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 213742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385486891).

213742800 is an abundant number, since it is smaller than the sum of its proper divisors (557230982).

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

213742800 is an equidigital number, since it uses as much as digits as its factorization.

213742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213742800 is about 14619.9452803354. The cubic root of 213742800 is about 597.9026772712.

The spelling of 213742800 in words is "two hundred thirteen million, seven hundred forty-two thousand, eight hundred".