980794800 has 180 divisors, whose sum is σ = 3435175224. Its totient is φ = 259123200.

The previous prime is 980794777. The next prime is 980794807. The reversal of 980794800 is 8497089.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (980794807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405595 + ... + 408005.

Almost surely, 2^980794800 is an apocalyptic number.

980794800 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 980794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717587612).

980794800 is an abundant number, since it is smaller than the sum of its proper divisors (2454380424).

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

980794800 is a wasteful number, since it uses less digits than its factorization.

980794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 980794800 is about 31317.6435895168. The cubic root of 980794800 is about 993.5568415367.

The spelling of 980794800 in words is "nine hundred eighty million, seven hundred ninety-four thousand, eight hundred".