807680 has 36 divisors (see below), whose sum is σ = 1937712. Its totient is φ = 322560.

The previous prime is 807647. The next prime is 807689. The reversal of 807680 is 86708.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (807689) 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, 965 + ... + 1595.

2⁸⁰⁷⁶⁸⁰ is an apocalyptic number.

807680 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 807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968856).

807680 is an abundant number, since it is smaller than the sum of its proper divisors (1130032).

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

807680 is an equidigital number, since it uses as much as digits as its factorization.

807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 807680 is about 898.7101868790. The cubic root of 807680 is about 93.1278927978.

The spelling of 807680 in words is "eight hundred seven thousand, six hundred eighty".