6427800 has 72 divisors (see below), whose sum is σ = 21592740. Its totient is φ = 1713600.

The previous prime is 6427793. The next prime is 6427807. The reversal of 6427800 is 87246.

It is an interprime number because it is at equal distance from previous prime (6427793) and next prime (6427807).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6427800² = 82633225680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15 + ... + 3585.

Almost surely, 2^6427800 is an apocalyptic number.

6427800 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 6427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796370).

6427800 is an abundant number, since it is smaller than the sum of its proper divisors (15164940).

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

6427800 is a wasteful number, since it uses less digits than its factorization.

6427800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6427800 is about 2535.3106318556. The cubic root of 6427800 is about 185.9319903977.

It can be divided in two parts, 6427 and 800, that added together give a palindrome (7227).

The spelling of 6427800 in words is "six million, four hundred twenty-seven thousand, eight hundred".