6802680 has 64 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1789568.

The previous prime is 6802673. The next prime is 6802681. The reversal of 6802680 is 862086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6802681) 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, 9619 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^6802680 is an apocalyptic number.

6802680 is a gapful number since it is divisible by the number (60) 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 6802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

6802680 is an abundant number, since it is smaller than the sum of its proper divisors (13881480).

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

6802680 is a wasteful number, since it uses less digits than its factorization.

6802680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6802680 is about 2608.1947780026. The cubic root of 6802680 is about 189.4785331768.

The spelling of 6802680 in words is "six million, eight hundred two thousand, six hundred eighty".