87336874976400 has 675 divisors, whose sum is σ = 364668902124219. Its totient is φ = 19960022799360.

The previous prime is 87336874976389. The next prime is 87336874976431. The reversal of 87336874976400 is 467947863378.

It is a happy number.

The square root of 87336874976400 is 9345420.

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

87336874976400 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 68 + 74 + 97 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3399908205456 + 83936966770944 = 1843884^2 + 9161712^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11775225492 + ... + 11775232908.

Almost surely, 2^{87336874976400} is an apocalyptic number.

87336874976400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87336874976400 is the 9345420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87336874976400

87336874976400 is an abundant number, since it is smaller than the sum of its proper divisors (277332027147819).

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

87336874976400 is an frugal number, since it uses more digits than its factorization.

87336874976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14878 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 87336874976400 in words is "eighty-seven trillion, three hundred thirty-six billion, eight hundred seventy-four million, nine hundred seventy-six thousand, four hundred".