800080 has 40 divisors (see below), whose sum is σ = 1899432. Its totient is φ = 313344.

The previous prime is 800077. The next prime is 800083. The reversal of 800080 is 80008.

It is an interprime number because it is at equal distance from previous prime (800077) and next prime (800083).

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 678976 = 348^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 not an unprimeable number, because it can be changed into a prime (800083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5772 + ... + 5908.

2⁸⁰⁰⁰⁸⁰ is an apocalyptic number.

800080 is a gapful number since it is divisible by the number (80) 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 800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949716).

800080 is an abundant number, since it is smaller than the sum of its proper divisors (1099352).

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

800080 is a wasteful number, since it uses less digits than its factorization.

800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 800080 is about 894.4719112415. The cubic root of 800080 is about 92.8348709617.

800080 divided by its sum of digits (16) gives a palindrome (50005).

Adding to 800080 its reverse (80008), we get a palindrome (880088).

It can be divided in two parts, 8000 and 80, that multiplied together give a square (640000 = 800²).

The spelling of 800080 in words is "eight hundred thousand, eighty".