981780800 has 336 divisors, whose sum is σ = 3248875392. Its totient is φ = 282009600.

The previous prime is 981780797. The next prime is 981780803. The reversal of 981780800 is 8087189.

It is an interprime number because it is at equal distance from previous prime (981780797) and next prime (981780803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981780803) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1601294 + ... + 1601906.

It is an arithmetic number, because the mean of its divisors is an integer number (9669272).

Almost surely, 2^981780800 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 981780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624437696).

981780800 is an abundant number, since it is smaller than the sum of its proper divisors (2267094592).

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

981780800 is a wasteful number, since it uses less digits than its factorization.

981780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 981780800 is about 31333.3815602466. The cubic root of 981780800 is about 993.8896732860.

The spelling of 981780800 in words is "nine hundred eighty-one million, seven hundred eighty thousand, eight hundred".