8047680 has 112 divisors (see below), whose sum is σ = 26115264. Its totient is φ = 2099200.

The previous prime is 8047657. The next prime is 8047687. The reversal of 8047680 is 867408.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8047687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79630 + ... + 79730.

It is an arithmetic number, because the mean of its divisors is an integer number (233172).

Almost surely, 2^8047680 is an apocalyptic number.

8047680 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 8047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057632).

8047680 is an abundant number, since it is smaller than the sum of its proper divisors (18067584).

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

8047680 is a wasteful number, since it uses less digits than its factorization.

8047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8047680 is about 2836.8433160822. The cubic root of 8047680 is about 200.3965465678.

The spelling of 8047680 in words is "eight million, forty-seven thousand, six hundred eighty".