80908800 has 360 divisors, whose sum is σ = 318144816. Its totient is φ = 18063360.

The previous prime is 80908771. The next prime is 80908801. The reversal of 80908800 is 880908.

It is not an unprimeable number, because it can be changed into a prime (80908801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881579 + ... + 1881621.

Almost surely, 2^80908800 is an apocalyptic number.

80908800 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 80908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159072408).

80908800 is an abundant number, since it is smaller than the sum of its proper divisors (237236016).

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

80908800 is a wasteful number, since it uses less digits than its factorization.

80908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 80908800 is about 8994.9319063570. The cubic root of 80908800 is about 432.5124234907.

The spelling of 80908800 in words is "eighty million, nine hundred eight thousand, eight hundred".