201200766 has 64 divisors (see below), whose sum is σ = 460185600. Its totient is φ = 58133376.

The previous prime is 201200761. The next prime is 201200801. The reversal of 201200766 is 667002102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187680 + ... + 188748.

It is an arithmetic number, because the mean of its divisors is an integer number (7190400).

Almost surely, 2^201200766 is an apocalyptic number.

201200766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230092800).

201200766 is an abundant number, since it is smaller than the sum of its proper divisors (258984834).

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

201200766 is a wasteful number, since it uses less digits than its factorization.

201200766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 201200766 is about 14184.5255824790. The cubic root of 201200766 is about 585.9715669167.

Adding to 201200766 its reverse (667002102), we get a palindrome (868202868).

The spelling of 201200766 in words is "two hundred one million, two hundred thousand, seven hundred sixty-six".