980530800 has 120 divisors (see below), whose sum is σ = 3176604720. Its totient is φ = 258508800.

The previous prime is 980530787. The next prime is 980530807. The reversal of 980530800 is 8035089.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×980530800² = 1922881299497280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980530807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102210 + ... + 111390.

It is an arithmetic number, because the mean of its divisors is an integer number (26471706).

Almost surely, 2^980530800 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 980530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588302360).

980530800 is an abundant number, since it is smaller than the sum of its proper divisors (2196073920).

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

980530800 is a wasteful number, since it uses less digits than its factorization.

980530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9291 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 980530800 is about 31313.4284293496. The cubic root of 980530800 is about 993.4676884866.

Adding to 980530800 its reverse (8035089), we get a palindrome (988565889).

The spelling of 980530800 in words is "nine hundred eighty million, five hundred thirty thousand, eight hundred".