212756680 has 64 divisors (see below), whose sum is σ = 506246400. Its totient is φ = 80248320.

The previous prime is 212756669. The next prime is 212756701. The reversal of 212756680 is 86657212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205444 + ... + 206476.

It is an arithmetic number, because the mean of its divisors is an integer number (7910100).

Almost surely, 2^212756680 is an apocalyptic number.

212756680 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 212756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253123200).

212756680 is an abundant number, since it is smaller than the sum of its proper divisors (293489720).

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

212756680 is a wasteful number, since it uses less digits than its factorization.

212756680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 212756680 is about 14586.1811314682. The cubic root of 212756680 is about 596.9817685157.

The spelling of 212756680 in words is "two hundred twelve million, seven hundred fifty-six thousand, six hundred eighty".