80932800 has 168 divisors, whose sum is σ = 286172656. Its totient is φ = 19906560.

The previous prime is 80932793. The next prime is 80932843. The reversal of 80932800 is 823908.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 61752 + ... + 63048.

Almost surely, 2^80932800 is an apocalyptic number.

80932800 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 80932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143086328).

80932800 is an abundant number, since it is smaller than the sum of its proper divisors (205239856).

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

80932800 is a wasteful number, since it uses less digits than its factorization.

80932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 80932800 is about 8996.2658920243. The cubic root of 80932800 is about 432.5551846900. Note that the first 3 decimals are identical.

The spelling of 80932800 in words is "eighty million, nine hundred thirty-two thousand, eight hundred".