6807400 has 48 divisors (see below), whose sum is σ = 16031340. Its totient is φ = 2688000.

The previous prime is 6807397. The next prime is 6807407. The reversal of 6807400 is 47086.

It can be written as a sum of positive squares in 6 ways, for example, as 3617604 + 3189796 = 1902^2 + 1786^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6807407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20032 + ... + 20368.

Almost surely, 2^6807400 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 6807400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015670).

6807400 is an abundant number, since it is smaller than the sum of its proper divisors (9223940).

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

6807400 is a wasteful number, since it uses less digits than its factorization.

6807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 6807400 is about 2609.0994615001. The cubic root of 6807400 is about 189.5223459051.

The spelling of 6807400 in words is "six million, eight hundred seven thousand, four hundred".