4080800 has 36 divisors (see below), whose sum is σ = 9964206. Its totient is φ = 1632000.

The previous prime is 4080787. The next prime is 4080803. The reversal of 4080800 is 80804.

It can be written as a sum of positive squares in 3 ways, for example, as 1507984 + 2572816 = 1228^2 + 1604^2 .

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 (4080803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751 + ... + 3350.

Almost surely, 2^4080800 is an apocalyptic number.

4080800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4080800 is an abundant number, since it is smaller than the sum of its proper divisors (5883406).

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

4080800 is a wasteful number, since it uses less digits than its factorization.

4080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5108 counting only the distinct ones).

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

The square root of 4080800 is about 2020.0990074746. The cubic root of 4080800 is about 159.8018380086.

The spelling of 4080800 in words is "four million, eighty thousand, eight hundred".