87865978800 has 240 divisors, whose sum is σ = 297266668160. Its totient is φ = 22123653120.

The previous prime is 87865978799. The next prime is 87865978807. The reversal of 87865978800 is 887956878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×87865978800⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (87865978807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6993324 + ... + 7005876.

Almost surely, 2^87865978800 is an apocalyptic number.

87865978800 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 87865978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148633334080).

87865978800 is an abundant number, since it is smaller than the sum of its proper divisors (209400689360).

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

87865978800 is a wasteful number, since it uses less digits than its factorization.

87865978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 87865978800 in words is "eighty-seven billion, eight hundred sixty-five million, nine hundred seventy-eight thousand, eight hundred".