87840720000 has 640 divisors, whose sum is σ = 353508091200. Its totient is φ = 21288960000.

The previous prime is 87840719977. The next prime is 87840720007. The reversal of 87840720000 is 2704878.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×87840720000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87840720007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23758152 + ... + 23761848.

Almost surely, 2^87840720000 is an apocalyptic number.

87840720000 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 87840720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176754045600).

87840720000 is an abundant number, since it is smaller than the sum of its proper divisors (265667371200).

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

87840720000 is a wasteful number, since it uses less digits than its factorization.

87840720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 87840720000 in words is "eighty-seven billion, eight hundred forty million, seven hundred twenty thousand".