6783940800 has 1008 divisors, whose sum is σ = 30816694272. Its totient is φ = 1376870400.

The previous prime is 6783940783. The next prime is 6783940817. The reversal of 6783940800 is 80493876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6783940783) and next prime (6783940817).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40622317 + ... + 40622483.

Almost surely, 2^6783940800 is an apocalyptic number.

6783940800 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 6783940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408347136).

6783940800 is an abundant number, since it is smaller than the sum of its proper divisors (24032753472).

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

6783940800 is a wasteful number, since it uses less digits than its factorization.

6783940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6783940800 is about 82364.6817513429. The cubic root of 6783940800 is about 1893.0438899377.

The spelling of 6783940800 in words is "six billion, seven hundred eighty-three million, nine hundred forty thousand, eight hundred".