2780800 has 96 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 998400.

The previous prime is 2780797. The next prime is 2780801. The reversal of 2780800 is 80872.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2780801) 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, 35161 + ... + 35239.

It is an arithmetic number, because the mean of its divisors is an integer number (79050).

2^2780800 is an apocalyptic number.

2780800 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 2780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

2780800 is an abundant number, since it is smaller than the sum of its proper divisors (4808000).

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

2780800 is a wasteful number, since it uses less digits than its factorization.

2780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 2780800 is about 1667.5730868541. The cubic root of 2780800 is about 140.6230732246.

The spelling of 2780800 in words is "two million, seven hundred eighty thousand, eight hundred".