987771200 has 168 divisors, whose sum is σ = 2642356920. Its totient is φ = 363417600.

The previous prime is 987771173. The next prime is 987771227. The reversal of 987771200 is 2177789.

987771200 = T₁₄₆ + T₁₄₇ + ... + T₁₈₀₉.

It is an interprime number because it is at equal distance from previous prime (987771173) and next prime (987771227).

It can be written as a sum of positive squares in 12 ways, for example, as 966463744 + 21307456 = 31088^2 + 4616^2 .

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, 3515060 + ... + 3515340.

It is an arithmetic number, because the mean of its divisors is an integer number (15728315).

Almost surely, 2^987771200 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 987771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321178460).

987771200 is an abundant number, since it is smaller than the sum of its proper divisors (1654585720).

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

987771200 is a wasteful number, since it uses less digits than its factorization.

987771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 41.

The square root of 987771200 is about 31428.8275314241. The cubic root of 987771200 is about 995.9070035697.

The spelling of 987771200 in words is "nine hundred eighty-seven million, seven hundred seventy-one thousand, two hundred".