201878768 has 80 divisors (see below), whose sum is σ = 489510336. Its totient is φ = 78520320.

The previous prime is 201878753. The next prime is 201878777. The reversal of 201878768 is 867878102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 87680 + ... + 89952.

Almost surely, 2^201878768 is an apocalyptic number.

201878768 is a gapful number since it is divisible by the number (28) 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 201878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244755168).

201878768 is an abundant number, since it is smaller than the sum of its proper divisors (287631568).

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

201878768 is a wasteful number, since it uses less digits than its factorization.

201878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 47.

The square root of 201878768 is about 14208.4048365747. The cubic root of 201878768 is about 586.6290270847.

The spelling of 201878768 in words is "two hundred one million, eight hundred seventy-eight thousand, seven hundred sixty-eight".