8087680 has 32 divisors (see below), whose sum is σ = 19336140. Its totient is φ = 3234816.

The previous prime is 8087669. The next prime is 8087687. The reversal of 8087680 is 867808.

8087680 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 732736 = 2712^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8087687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5679 + ... + 6958.

Almost surely, 2^8087680 is an apocalyptic number.

8087680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8087680 is an abundant number, since it is smaller than the sum of its proper divisors (11248460).

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

8087680 is a wasteful number, since it uses less digits than its factorization.

8087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 8087680 is about 2843.8846671411. The cubic root of 8087680 is about 200.7280134335.

The spelling of 8087680 in words is "eight million, eighty-seven thousand, six hundred eighty".