2820800 has 84 divisors (see below), whose sum is σ = 7275576. Its totient is φ = 1075200.

The previous prime is 2820791. The next prime is 2820803. The reversal of 2820800 is 80282.

2820800 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2820803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65579 + ... + 65621.

It is an arithmetic number, because the mean of its divisors is an integer number (86614).

2^2820800 is an apocalyptic number.

2820800 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 2820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637788).

2820800 is an abundant number, since it is smaller than the sum of its proper divisors (4454776).

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

2820800 is a wasteful number, since it uses less digits than its factorization.

2820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2820800 is about 1679.5237420174. The cubic root of 2820800 is about 141.2941230574.

The spelling of 2820800 in words is "two million, eight hundred twenty thousand, eight hundred".