8980800 has 84 divisors (see below), whose sum is σ = 29480256. Its totient is φ = 2393600.

The previous prime is 8980789. The next prime is 8980813. The reversal of 8980800 is 80898.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3865 + ... + 5735.

Almost surely, 2^8980800 is an apocalyptic number.

8980800 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 8980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128).

8980800 is an abundant number, since it is smaller than the sum of its proper divisors (20499456).

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

8980800 is a wasteful number, since it uses less digits than its factorization.

8980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1881 counting only the distinct ones).

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

The square root of 8980800 is about 2996.7982915105. The cubic root of 8980800 is about 207.8603599230.

The spelling of 8980800 in words is "eight million, nine hundred eighty thousand, eight hundred".