987940800 has 882 divisors, whose sum is σ = 4578542024. Its totient is φ = 205286400.

The previous prime is 987940787. The next prime is 987940801. The reversal of 987940800 is 8049789.

987940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987940801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 89812795 + ... + 89812805.

Almost surely, 2^987940800 is an apocalyptic number.

987940800 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 987940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289271012).

987940800 is an abundant number, since it is smaller than the sum of its proper divisors (3590601224).

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

987940800 is a wasteful number, since it uses less digits than its factorization.

987940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

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

The square root of 987940800 is about 31431.5255754473. The cubic root of 987940800 is about 995.9639992794.

Multiplying 987940800 by its product of nonzero digits (145152), we get a square (143401583001600 = 11975040²).

The spelling of 987940800 in words is "nine hundred eighty-seven million, nine hundred forty thousand, eight hundred".