2768800 has 36 divisors (see below), whose sum is σ = 6761286. Its totient is φ = 1107200.

The previous prime is 2768791. The next prime is 2768803. The reversal of 2768800 is 88672.

2768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1628176 + 1140624 = 1276^2 + 1068^2 .

It is not an unprimeable number, because it can be changed into a prime (2768803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 931 + ... + 2530.

2^2768800 is an apocalyptic number.

2768800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2768800 is an abundant number, since it is smaller than the sum of its proper divisors (3992486).

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

2768800 is a wasteful number, since it uses less digits than its factorization.

2768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2768800 is about 1663.9711535961. The cubic root of 2768800 is about 140.4205044146.

It can be divided in two parts, 2 and 768800, that multiplied together give a square (1537600 = 1240²).

The spelling of 2768800 in words is "two million, seven hundred sixty-eight thousand, eight hundred".