6802320 has 80 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 1554432.

The previous prime is 6802307. The next prime is 6802321. The reversal of 6802320 is 232086.

6802320 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

6802320 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (6802321) 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, 345 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^6802320 is an apocalyptic number.

6802320 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 6802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

6802320 is an abundant number, since it is smaller than the sum of its proper divisors (17303280).

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

6802320 is a wasteful number, since it uses less digits than its factorization.

6802320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6802320 is about 2608.1257638389. The cubic root of 6802320 is about 189.4751906963.

The spelling of 6802320 in words is "six million, eight hundred two thousand, three hundred twenty".