80928000 has 216 divisors, whose sum is σ = 292238856. Its totient is φ = 21504000.

The previous prime is 80927989. The next prime is 80928013. The reversal of 80928000 is 82908.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 79709184 = 1104^2 + 8928^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287860 + ... + 288140.

Almost surely, 2^80928000 is an apocalyptic number.

80928000 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 80928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146119428).

80928000 is an abundant number, since it is smaller than the sum of its proper divisors (211310856).

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

80928000 is a wasteful number, since it uses less digits than its factorization.

80928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80928000 is about 8995.9991107158. Note that the first 3 decimals coincide. The cubic root of 80928000 is about 432.5466331265.

The spelling of 80928000 in words is "eighty million, nine hundred twenty-eight thousand".