212876800 has 60 divisors (see below), whose sum is σ = 527450616. Its totient is φ = 85145600.

The previous prime is 212876777. The next prime is 212876801. The reversal of 212876800 is 8678212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212876801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4485 + ... + 21115.

Almost surely, 2^212876800 is an apocalyptic number.

212876800 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 212876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263725308).

212876800 is an abundant number, since it is smaller than the sum of its proper divisors (314573816).

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

212876800 is an equidigital number, since it uses as much as digits as its factorization.

212876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16659 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 212876800 is about 14590.2981463711. The cubic root of 212876800 is about 597.0940970825.

The spelling of 212876800 in words is "two hundred twelve million, eight hundred seventy-six thousand, eight hundred".