87008005776 has 80 divisors (see below), whose sum is σ = 226874318400. Its totient is φ = 28731494400.

The previous prime is 87008005771. The next prime is 87008005783. The reversal of 87008005776 is 67750080078.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (87008005771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18705051 + ... + 18709701.

It is an arithmetic number, because the mean of its divisors is an integer number (2835928980).

Almost surely, 2^87008005776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87008005776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113437159200).

87008005776 is an abundant number, since it is smaller than the sum of its proper divisors (139866312624).

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

87008005776 is a wasteful number, since it uses less digits than its factorization.

87008005776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 87008005776 in words is "eighty-seven billion, eight million, five thousand, seven hundred seventy-six".