2806768800 has 288 divisors, whose sum is σ = 11074916160. Its totient is φ = 680371200.

The previous prime is 2806768771. The next prime is 2806768847. The reversal of 2806768800 is 88676082.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 231694 + ... + 243506.

It is an arithmetic number, because the mean of its divisors is an integer number (38454570).

Almost surely, 2^2806768800 is an apocalyptic number.

2806768800 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 2806768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537458080).

2806768800 is an abundant number, since it is smaller than the sum of its proper divisors (8268147360).

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

2806768800 is a wasteful number, since it uses less digits than its factorization.

2806768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2806768800 is about 52978.9467618978. The cubic root of 2806768800 is about 1410.5945885241.

The spelling of 2806768800 in words is "two billion, eight hundred six million, seven hundred sixty-eight thousand, eight hundred".