828080 has 40 divisors (see below), whose sum is σ = 2102544. Its totient is φ = 300800.

The previous prime is 828071. The next prime is 828101. The reversal of 828080 is 80828.

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

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

828080 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 7 ways as a sum of consecutive naturals, for example, 410 + ... + 1350.

2⁸²⁸⁰⁸⁰ is an apocalyptic number.

828080 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 828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051272).

828080 is an abundant number, since it is smaller than the sum of its proper divisors (1274464).

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

828080 is a wasteful number, since it uses less digits than its factorization.

828080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 828080 is about 909.9890109227. The cubic root of 828080 is about 93.9054428651.

The spelling of 828080 in words is "eight hundred twenty-eight thousand, eighty".