8460800 has 60 divisors (see below), whose sum is σ = 20994006. Its totient is φ = 3379200.

The previous prime is 8460797. The next prime is 8460817. The reversal of 8460800 is 80648.

It can be written as a sum of positive squares in 3 ways, for example, as 7311616 + 1149184 = 2704^2 + 1072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8460800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12470 + ... + 13130.

Almost surely, 2^8460800 is an apocalyptic number.

8460800 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 8460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497003).

8460800 is an abundant number, since it is smaller than the sum of its proper divisors (12533206).

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

8460800 is an equidigital number, since it uses as much as digits as its factorization.

8460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8460800 is about 2908.7454340317. The cubic root of 8460800 is about 203.7685443620.

It can be divided in two parts, 8 and 460800, that multiplied together give a square (3686400 = 1920²).

The spelling of 8460800 in words is "eight million, four hundred sixty thousand, eight hundred".