6802400 has 72 divisors (see below), whose sum is σ = 18139464. Its totient is φ = 2470400.

The previous prime is 6802379. The next prime is 6802409. The reversal of 6802400 is 42086.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6802409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8414 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (251937).

Almost surely, 2^6802400 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 6802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069732).

6802400 is an abundant number, since it is smaller than the sum of its proper divisors (11337064).

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

6802400 is a wasteful number, since it uses less digits than its factorization.

6802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6802400 is about 2608.1411004775. The cubic root of 6802400 is about 189.4759334799.

Adding to 6802400 its reverse (42086), we get a palindrome (6844486).

The spelling of 6802400 in words is "six million, eight hundred two thousand, four hundred".