802080 has 72 divisors (see below), whose sum is σ = 2742012. Its totient is φ = 213504.

The previous prime is 802073. The next prime is 802103. The reversal of 802080 is 80208.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 76176 = 852^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

802080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1162 + ... + 1718.

2⁸⁰²⁰⁸⁰ is an apocalyptic number.

802080 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 802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371006).

802080 is an abundant number, since it is smaller than the sum of its proper divisors (1939932).

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

802080 is a wasteful number, since it uses less digits than its factorization.

802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

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

The square root of 802080 is about 895.5891915382. The cubic root of 802080 is about 92.9121612523.

Adding to 802080 its product of nonzero digits (128), we get a palindrome (802208).

Adding to 802080 its reverse (80208), we get a palindrome (882288).

It can be divided in two parts, 8020 and 80, that added together give a square (8100 = 90²).

The spelling of 802080 in words is "eight hundred two thousand, eighty".