987820800 has 108 divisors (see below), whose sum is σ = 3260077800. Its totient is φ = 263413760.

The previous prime is 987820793. The next prime is 987820807. The reversal of 987820800 is 8028789.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (987820793) and next prime (987820807).

It is not an unprimeable number, because it can be changed into a prime (987820807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6525 + ... + 44924.

Almost surely, 2^987820800 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 987820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630038900).

987820800 is an abundant number, since it is smaller than the sum of its proper divisors (2272257000).

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

987820800 is a wasteful number, since it uses less digits than its factorization.

987820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51478 (or 51459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 987820800 is about 31429.6166059976. The cubic root of 987820800 is about 995.9236728013.

The spelling of 987820800 in words is "nine hundred eighty-seven million, eight hundred twenty thousand, eight hundred".