212780880 has 240 divisors, whose sum is σ = 779950080. Its totient is φ = 51674112.

The previous prime is 212780863. The next prime is 212780903. The reversal of 212780880 is 88087212.

212780880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188631 + ... + 1188809.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^212780880 is an apocalyptic number.

212780880 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 212780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

212780880 is an abundant number, since it is smaller than the sum of its proper divisors (567169200).

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

212780880 is a wasteful number, since it uses less digits than its factorization.

212780880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 212780880 is about 14587.0106601730. The cubic root of 212780880 is about 597.0044022133.

The spelling of 212780880 in words is "two hundred twelve million, seven hundred eighty thousand, eight hundred eighty".