1987204800 has 672 divisors, whose sum is σ = 8163763200. Its totient is φ = 421478400.

The previous prime is 1987204771. The next prime is 1987204819. The reversal of 1987204800 is 84027891.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27988765 + ... + 27988835.

Almost surely, 2^1987204800 is an apocalyptic number.

1987204800 is a gapful number since it is divisible by the number (10) 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 1987204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081881600).

1987204800 is an abundant number, since it is smaller than the sum of its proper divisors (6176558400).

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

1987204800 is a wasteful number, since it uses less digits than its factorization.

1987204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1987204800 is about 44578.0753285738. The cubic root of 1987204800 is about 1257.2284760656.

The spelling of 1987204800 in words is "one billion, nine hundred eighty-seven million, two hundred four thousand, eight hundred".