6780000 has 120 divisors (see below), whose sum is σ = 22436568. Its totient is φ = 1792000.

The previous prime is 6779999. The next prime is 6780013. The reversal of 6780000 is 876.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59944 + ... + 60056.

Almost surely, 2^6780000 is an apocalyptic number.

6780000 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 6780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218284).

6780000 is an abundant number, since it is smaller than the sum of its proper divisors (15656568).

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

6780000 is a wasteful number, since it uses less digits than its factorization.

6780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6780000 is about 2603.8433132583. The cubic root of 6780000 is about 189.2677261721.

Adding to 6780000 its reverse (876), we get a palindrome (6780876).

The spelling of 6780000 in words is "six million, seven hundred eighty thousand".