87107680800 has 576 divisors, whose sum is σ = 361214380800. Its totient is φ = 19845734400.

The previous prime is 87107680783. The next prime is 87107680811. The reversal of 87107680800 is 808670178.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58816060 + ... + 58817540.

It is an arithmetic number, because the mean of its divisors is an integer number (627108300).

Almost surely, 2^87107680800 is an apocalyptic number.

87107680800 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 87107680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180607190400).

87107680800 is an abundant number, since it is smaller than the sum of its proper divisors (274106700000).

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

87107680800 is a wasteful number, since it uses less digits than its factorization.

87107680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 87107680800 in words is "eighty-seven billion, one hundred seven million, six hundred eighty thousand, eight hundred".