8457680 has 80 divisors (see below), whose sum is σ = 24534144. Its totient is φ = 2634240.

The previous prime is 8457677. The next prime is 8457727. The reversal of 8457680 is 867548.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5474 + ... + 6846.

Almost surely, 2^8457680 is an apocalyptic number.

8457680 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 8457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267072).

8457680 is an abundant number, since it is smaller than the sum of its proper divisors (16076464).

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

8457680 is a wasteful number, since it uses less digits than its factorization.

8457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 8457680 is about 2908.2090708888. The cubic root of 8457680 is about 203.7434940901.

The spelling of 8457680 in words is "eight million, four hundred fifty-seven thousand, six hundred eighty".