6476800 has 132 divisors (see below), whose sum is σ = 18275616. Its totient is φ = 2252800.

The previous prime is 6476791. The next prime is 6476809. The reversal of 6476800 is 86746.

It is an interprime number because it is at equal distance from previous prime (6476791) and next prime (6476809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6476809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281589 + ... + 281611.

Almost surely, 2^6476800 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 6476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137808).

6476800 is an abundant number, since it is smaller than the sum of its proper divisors (11798816).

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

6476800 is a wasteful number, since it uses less digits than its factorization.

6476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6476800 is about 2544.9557952939. The cubic root of 6476800 is about 186.4032565881.

It can be divided in two parts, 647 and 6800, that added together give a palindrome (7447).

The spelling of 6476800 in words is "six million, four hundred seventy-six thousand, eight hundred".