6820800 has 252 divisors, whose sum is σ = 26929080. Its totient is φ = 1505280.

The previous prime is 6820783. The next prime is 6820817. The reversal of 6820800 is 80286.

It is an interprime number because it is at equal distance from previous prime (6820783) and next prime (6820817).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235186 + ... + 235214.

Almost surely, 2^6820800 is an apocalyptic number.

6820800 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 6820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464540).

6820800 is an abundant number, since it is smaller than the sum of its proper divisors (20108280).

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

6820800 is a wasteful number, since it uses less digits than its factorization.

6820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6820800 is about 2611.6661348649. Note that the first 3 decimals coincide. The cubic root of 6820800 is about 189.6466192400.

The spelling of 6820800 in words is "six million, eight hundred twenty thousand, eight hundred".