2806876800 has 1440 divisors, whose sum is σ = 13739237820. Its totient is φ = 557383680.

The previous prime is 2806876777. The next prime is 2806876811. The reversal of 2806876800 is 86786082.

It can be written as a sum of positive squares in 6 ways, for example, as 884229696 + 1922647104 = 29736^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 165110392 + ... + 165110408.

Almost surely, 2^2806876800 is an apocalyptic number.

2806876800 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 2806876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869618910).

2806876800 is an abundant number, since it is smaller than the sum of its proper divisors (10932361020).

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

2806876800 is a wasteful number, since it uses less digits than its factorization.

2806876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

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

The square root of 2806876800 is about 52979.9660249042. The cubic root of 2806876800 is about 1410.6126807710.

The spelling of 2806876800 in words is "two billion, eight hundred six million, eight hundred seventy-six thousand, eight hundred".