6809400 has 192 divisors, whose sum is σ = 25519200. Its totient is φ = 1658880.

The previous prime is 6809393. The next prime is 6809423. The reversal of 6809400 is 49086.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70152 + ... + 70248.

Almost surely, 2^6809400 is an apocalyptic number.

6809400 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 6809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759600).

6809400 is an abundant number, since it is smaller than the sum of its proper divisors (18709800).

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

6809400 is a wasteful number, since it uses less digits than its factorization.

6809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

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

The square root of 6809400 is about 2609.4827073579. The cubic root of 6809400 is about 189.5409045118.

The spelling of 6809400 in words is "six million, eight hundred nine thousand, four hundred".