9280800 has 108 divisors (see below), whose sum is σ = 32751810. Its totient is φ = 2472960.

The previous prime is 9280787. The next prime is 9280823. The reversal of 9280800 is 80829.

It can be written as a sum of positive squares in 3 ways, for example, as 8088336 + 1192464 = 2844^2 + 1092^2 .

It is a super-2 number, since 2×9280800² = 172266497280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6556 + ... + 7844.

Almost surely, 2^9280800 is an apocalyptic number.

9280800 is a gapful number since it is divisible by the number (90) 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 9280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375905).

9280800 is an abundant number, since it is smaller than the sum of its proper divisors (23471010).

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

9280800 is a wasteful number, since it uses less digits than its factorization.

9280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

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

The square root of 9280800 is about 3046.4405459487. The cubic root of 9280800 is about 210.1495533330.

The spelling of 9280800 in words is "nine million, two hundred eighty thousand, eight hundred".