87007300900 has 81 divisors (see below), whose sum is σ = 204536707641. Its totient is φ = 32111614080.

The previous prime is 87007300879. The next prime is 87007300907. The reversal of 87007300900 is 900370078.

The square root of 87007300900 is 294970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 78172804836 + 8834496064 = 279594^2 + 93992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87007300907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 38344966 + ... + 38347234.

Almost surely, 2^87007300900 is an apocalyptic number.

87007300900 is the 294970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87007300900

87007300900 is an abundant number, since it is smaller than the sum of its proper divisors (117529406741).

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

87007300900 is a wasteful number, since it uses less digits than its factorization.

87007300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

Adding to 87007300900 its reverse (900370078), we get a palindrome (87907670978).

The spelling of 87007300900 in words is "eighty-seven billion, seven million, three hundred thousand, nine hundred".