6800442 has 96 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 1774080.

The previous prime is 6800441. The next prime is 6800473. The reversal of 6800442 is 2440086.

6800442 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6800442² = 92492022790728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6800441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234484 + ... + 234512.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^6800442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6800442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

6800442 is an abundant number, since it is smaller than the sum of its proper divisors (10436358).

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

6800442 is a wasteful number, since it uses less digits than its factorization.

6800442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6800442 is about 2607.7657103352. The cubic root of 6800442 is about 189.4577521773.

The spelling of 6800442 in words is "six million, eight hundred thousand, four hundred forty-two".