2800080 has 60 divisors (see below), whose sum is σ = 9406020. Its totient is φ = 746496.

The previous prime is 2800079. The next prime is 2800103. The reversal of 2800080 is 800082.

2800080 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 2 ways, for example, as 1527696 + 1272384 = 1236^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1225 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (156767).

2^2800080 is an apocalyptic number.

2800080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2800080 is an abundant number, since it is smaller than the sum of its proper divisors (6605940).

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

2800080 is a wasteful number, since it uses less digits than its factorization.

2800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2800080 is about 1673.3439574696. The cubic root of 2800080 is about 140.9473169711.

The spelling of 2800080 in words is "two million, eight hundred thousand, eighty".