980784000 has 576 divisors, whose sum is σ = 4126777200. Its totient is φ = 222566400.

The previous prime is 980783987. The next prime is 980784019. The reversal of 980784000 is 487089.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7055931 + ... + 7056069.

Almost surely, 2^980784000 is an apocalyptic number.

980784000 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 980784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063388600).

980784000 is an abundant number, since it is smaller than the sum of its proper divisors (3145993200).

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

980784000 is a wasteful number, since it uses less digits than its factorization.

980784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 980784000 is about 31317.4711622762. The cubic root of 980784000 is about 993.5531946804.

The spelling of 980784000 in words is "nine hundred eighty million, seven hundred eighty-four thousand".