828166080 has 112 divisors (see below), whose sum is σ = 3005084160. Its totient is φ = 189293568.

The previous prime is 828166063. The next prime is 828166109. The reversal of 828166080 is 80661828.

828166080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54900 + ... + 68339.

Almost surely, 2^828166080 is an apocalyptic number.

828166080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828166080 is an abundant number, since it is smaller than the sum of its proper divisors (2176918080).

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

828166080 is a wasteful number, since it uses less digits than its factorization.

828166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123266 (or 123256 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 828166080 is about 28777.8748346712. The cubic root of 828166080 is about 939.0869661696.

The spelling of 828166080 in words is "eight hundred twenty-eight million, one hundred sixty-six thousand, eighty".