6820880 has 80 divisors (see below), whose sum is σ = 18105984. Its totient is φ = 2365440.

The previous prime is 6820873. The next prime is 6820897. The reversal of 6820880 is 880286.

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

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, 20072 + ... + 20408.

Almost surely, 2^6820880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052992).

6820880 is an abundant number, since it is smaller than the sum of its proper divisors (11285104).

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

6820880 is a wasteful number, since it uses less digits than its factorization.

6820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 6820880 is about 2611.6814507133. The cubic root of 6820880 is about 189.6473606814.

The spelling of 6820880 in words is "six million, eight hundred twenty thousand, eight hundred eighty".