80828800 has 192 divisors, whose sum is σ = 225766800. Its totient is φ = 28385280.

The previous prime is 80828789. The next prime is 80828819. The reversal of 80828800 is 882808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206367 + ... + 1206433.

Almost surely, 2^80828800 is an apocalyptic number.

80828800 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 80828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112883400).

80828800 is an abundant number, since it is smaller than the sum of its proper divisors (144938000).

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

80828800 is a wasteful number, since it uses less digits than its factorization.

80828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 80828800 is about 8990.4838579467. The cubic root of 80828800 is about 432.3698250578.

The spelling of 80828800 in words is "eighty million, eight hundred twenty-eight thousand, eight hundred".