6780196800 has 336 divisors, whose sum is σ = 26619789280. Its totient is φ = 1668833280.

The previous prime is 6780196793. The next prime is 6780196807. The reversal of 6780196800 is 86910876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6780196793) and next prime (6780196807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780196807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555564 + ... + 567636.

Almost surely, 2^6780196800 is an apocalyptic number.

6780196800 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 6780196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309894640).

6780196800 is an abundant number, since it is smaller than the sum of its proper divisors (19839592480).

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

6780196800 is a wasteful number, since it uses less digits than its factorization.

6780196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6780196800 is about 82341.9504262560. The cubic root of 6780196800 is about 1892.6955741732.

The spelling of 6780196800 in words is "six billion, seven hundred eighty million, one hundred ninety-six thousand, eight hundred".