2827800 has 72 divisors (see below), whose sum is σ = 9502740. Its totient is φ = 753600.

The previous prime is 2827793. The next prime is 2827813. The reversal of 2827800 is 87282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1015 + ... + 2585.

2^2827800 is an apocalyptic number.

2827800 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 2827800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751370).

2827800 is an abundant number, since it is smaller than the sum of its proper divisors (6674940).

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

2827800 is a wasteful number, since it uses less digits than its factorization.

2827800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2827800 is about 1681.6063748690. The cubic root of 2827800 is about 141.4109033856.

The spelling of 2827800 in words is "two million, eight hundred twenty-seven thousand, eight hundred".