212761080 has 384 divisors, whose sum is σ = 849139200. Its totient is φ = 46904832.

The previous prime is 212761079. The next prime is 212761093. The reversal of 212761080 is 80167212.

212761080 is a `hidden beast` number, since 21 + 27 + 610 + 8 + 0 = 666.

It is a super-3 number, since 3×212761080³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3606091 + ... + 3606149.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^212761080 is an apocalyptic number.

212761080 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 212761080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

212761080 is an abundant number, since it is smaller than the sum of its proper divisors (636378120).

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

212761080 is a wasteful number, since it uses less digits than its factorization.

212761080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 212761080 is about 14586.3319583780. The cubic root of 212761080 is about 596.9858838611.

The spelling of 212761080 in words is "two hundred twelve million, seven hundred sixty-one thousand, eighty".