211077768 has 64 divisors (see below), whose sum is σ = 577005120. Its totient is φ = 63814400.

The previous prime is 211077761. The next prime is 211077787. The reversal of 211077768 is 867770112.

It is not an unprimeable number, because it can be changed into a prime (211077761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178138 + ... + 179318.

It is an arithmetic number, because the mean of its divisors is an integer number (9015705).

Almost surely, 2^211077768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211077768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288502560).

211077768 is an abundant number, since it is smaller than the sum of its proper divisors (365927352).

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

211077768 is a wasteful number, since it uses less digits than its factorization.

211077768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 211077768 is about 14528.5156846802. The cubic root of 211077768 is about 595.4073128491.

The spelling of 211077768 in words is "two hundred eleven million, seventy-seven thousand, seven hundred sixty-eight".