8704987200 has 1134 divisors, whose sum is σ = 39506306814. Its totient is φ = 1811496960.

The previous prime is 8704987189. The next prime is 8704987211. The reversal of 8704987200 is 27894078.

It is an interprime number because it is at equal distance from previous prime (8704987189) and next prime (8704987211).

It can be written as a sum of positive squares in 9 ways, for example, as 5267275776 + 3437711424 = 72576^2 + 58632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 119246364 + ... + 119246436.

Almost surely, 2^8704987200 is an apocalyptic number.

8704987200 is a gapful number since it is divisible by the number (80) 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 8704987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753153407).

8704987200 is an abundant number, since it is smaller than the sum of its proper divisors (30801319614).

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

8704987200 is a wasteful number, since it uses less digits than its factorization.

8704987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 8704987200 is about 93300.5208988674. The cubic root of 8704987200 is about 2057.1030382504.

The spelling of 8704987200 in words is "eight billion, seven hundred four million, nine hundred eighty-seven thousand, two hundred".