8407680 has 128 divisors (see below), whose sum is σ = 27907200. Its totient is φ = 2150400.

The previous prime is 8407667. The next prime is 8407699. The reversal of 8407680 is 867048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55605 + ... + 55755.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^8407680 is an apocalyptic number.

8407680 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 8407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

8407680 is an abundant number, since it is smaller than the sum of its proper divisors (19499520).

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

8407680 is a wasteful number, since it uses less digits than its factorization.

8407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

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

The square root of 8407680 is about 2899.5999724100. The cubic root of 8407680 is about 203.3412042700.

The spelling of 8407680 in words is "eight million, four hundred seven thousand, six hundred eighty".