980800 has 42 divisors (see below), whose sum is σ = 2417318. Its totient is φ = 391680.

The previous prime is 980773. The next prime is 980801. The reversal of 980800 is 8089.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 968256 = 112^2 + 984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980801) by changing a digit.

980800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1294 + ... + 1906.

2⁹⁸⁰⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208659).

980800 is an abundant number, since it is smaller than the sum of its proper divisors (1436518).

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

980800 is a wasteful number, since it uses less digits than its factorization.

980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 980800 is about 990.3534722512. The cubic root of 980800 is about 99.3558597421.

Adding to 980800 its reverse (8089), we get a palindrome (988889).

The spelling of 980800 in words is "nine hundred eighty thousand, eight hundred".