6378900 has 72 divisors (see below), whose sum is σ = 20144544. Its totient is φ = 1545600.

The previous prime is 6378881. The next prime is 6378907. The reversal of 6378900 is 98736.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6378907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334 + ... + 4266.

Almost surely, 2^6378900 is an apocalyptic number.

6378900 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 6378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072272).

6378900 is an abundant number, since it is smaller than the sum of its proper divisors (13765644).

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

6378900 is a wasteful number, since it uses less digits than its factorization.

6378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6378900 is about 2525.6484315914. The cubic root of 6378900 is about 185.4592921961.

The spelling of 6378900 in words is "six million, three hundred seventy-eight thousand, nine hundred".