987892800 has 168 divisors, whose sum is σ = 3257190336. Its totient is φ = 262133760.

The previous prime is 987892781. The next prime is 987892813. The reversal of 987892800 is 8298789.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1329229 + ... + 1329971.

Almost surely, 2^987892800 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 987892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628595168).

987892800 is an abundant number, since it is smaller than the sum of its proper divisors (2269297536).

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

987892800 is a wasteful number, since it uses less digits than its factorization.

987892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 987892800 is about 31430.7620015806. The cubic root of 987892800 is about 995.9478690800.

The spelling of 987892800 in words is "nine hundred eighty-seven million, eight hundred ninety-two thousand, eight hundred".