2768400 has 90 divisors (see below), whose sum is σ = 9619610. Its totient is φ = 737280.

The previous prime is 2768371. The next prime is 2768401. The reversal of 2768400 is 48672.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 2663424 = 324^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2768401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3216 + ... + 3984.

2^2768400 is an apocalyptic number.

2768400 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 2768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809805).

2768400 is an abundant number, since it is smaller than the sum of its proper divisors (6851210).

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

2768400 is a wasteful number, since it uses less digits than its factorization.

2768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2768400 is about 1663.8509548634. The cubic root of 2768400 is about 140.4137420499.

The spelling of 2768400 in words is "two million, seven hundred sixty-eight thousand, four hundred".