6940800 has 144 divisors (see below), whose sum is σ = 24869130. Its totient is φ = 1843200.

The previous prime is 6940783. The next prime is 6940823. The reversal of 6940800 is 80496.

It can be written as a sum of positive squares in 3 ways, for example, as 5875776 + 1065024 = 2424^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28680 + ... + 28920.

Almost surely, 2^6940800 is an apocalyptic number.

6940800 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 6940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434565).

6940800 is an abundant number, since it is smaller than the sum of its proper divisors (17928330).

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

6940800 is a wasteful number, since it uses less digits than its factorization.

6940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6940800 is about 2634.5398080120. The cubic root of 6940800 is about 190.7523264725.

The spelling of 6940800 in words is "six million, nine hundred forty thousand, eight hundred".