87746288400 has 135 divisors (see below), whose sum is σ = 304565685151. Its totient is φ = 23394270720.

The previous prime is 87746288387. The next prime is 87746288411. The reversal of 87746288400 is 488264778.

It is a happy number.

The square root of 87746288400 is 296220.

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

87746288400 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 628 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3720512016 + 84025776384 = 60996^2 + 289872^2 .

It is a super-2 number, since 2×87746288400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17770732 + ... + 17775668.

Almost surely, 2^87746288400 is an apocalyptic number.

87746288400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87746288400 is the 296220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87746288400

87746288400 is an abundant number, since it is smaller than the sum of its proper divisors (216819396751).

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

87746288400 is an equidigital number, since it uses as much as digits as its factorization.

87746288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 87746288400 in words is "eighty-seven billion, seven hundred forty-six million, two hundred eighty-eight thousand, four hundred".