6802880 has 56 divisors (see below), whose sum is σ = 18519648. Its totient is φ = 2331648.

The previous prime is 6802837. The next prime is 6802883. The reversal of 6802880 is 882086.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6802883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 3758.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^6802880 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 6802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259824).

6802880 is an abundant number, since it is smaller than the sum of its proper divisors (11716768).

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

6802880 is a wasteful number, since it uses less digits than its factorization.

6802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3051 counting only the distinct ones).

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

The square root of 6802880 is about 2608.2331184156. The cubic root of 6802880 is about 189.4803900594.

The spelling of 6802880 in words is "six million, eight hundred two thousand, eight hundred eighty".