3200080 has 80 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 1105920.

The previous prime is 3200069. The next prime is 3200081. The reversal of 3200080 is 800023.

It can be written as a sum of positive squares in 8 ways, for example, as 627264 + 2572816 = 792^2 + 1604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3200080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17590 + ... + 17770.

Almost surely, 2^3200080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

3200080 is an abundant number, since it is smaller than the sum of its proper divisors (5330624).

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

3200080 is a wasteful number, since it uses less digits than its factorization.

3200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3200080 is about 1788.8767425399. The cubic root of 3200080 is about 147.3624879459.

It can be divided in two parts, 32000 and 80, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 3200080 in words is "three million, two hundred thousand, eighty".