212527800 has 144 divisors (see below), whose sum is σ = 740343240. Its totient is φ = 56661120.

The previous prime is 212527771. The next prime is 212527807. The reversal of 212527800 is 8725212.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (212527807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46414 + ... + 50786.

Almost surely, 2^212527800 is an apocalyptic number.

212527800 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 212527800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370171620).

212527800 is an abundant number, since it is smaller than the sum of its proper divisors (527815440).

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

212527800 is a wasteful number, since it uses less digits than its factorization.

212527800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 212527800 is about 14578.3332380626. Note that the first 3 decimals coincide. The cubic root of 212527800 is about 596.7676174429.

The spelling of 212527800 in words is "two hundred twelve million, five hundred twenty-seven thousand, eight hundred".