212770800 has 360 divisors, whose sum is σ = 839529600. Its totient is φ = 51321600.

The previous prime is 212770781. The next prime is 212770807. The reversal of 212770800 is 8077212.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212770807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069101 + ... + 1069299.

Almost surely, 2^212770800 is an apocalyptic number.

212770800 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 212770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419764800).

212770800 is an abundant number, since it is smaller than the sum of its proper divisors (626758800).

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

212770800 is a wasteful number, since it uses less digits than its factorization.

212770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 212770800 is about 14586.6651432053. The cubic root of 212770800 is about 596.9949748321.

It can be divided in two parts, 2127 and 70800, that added together give a palindrome (72927).

The spelling of 212770800 in words is "two hundred twelve million, seven hundred seventy thousand, eight hundred".