980650800 has 480 divisors, whose sum is σ = 3782496000. Its totient is φ = 243544320.

The previous prime is 980650789. The next prime is 980650813. The reversal of 980650800 is 8056089.

980650800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16621171 + ... + 16621229.

It is an arithmetic number, because the mean of its divisors is an integer number (7880200).

Almost surely, 2^980650800 is an apocalyptic number.

980650800 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 980650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891248000).

980650800 is an abundant number, since it is smaller than the sum of its proper divisors (2801845200).

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

980650800 is a wasteful number, since it uses less digits than its factorization.

980650800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 980650800 is about 31315.3444815796. The cubic root of 980650800 is about 993.5082145838.

It can be divided in two parts, 9806 and 50800, that added together give a palindrome (60606).

The spelling of 980650800 in words is "nine hundred eighty million, six hundred fifty thousand, eight hundred".