6783004800 has 1152 divisors, whose sum is σ = 29971206720. Its totient is φ = 1492992000.

The previous prime is 6783004799. The next prime is 6783004831. The reversal of 6783004800 is 84003876.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 111196770 + ... + 111196830.

Almost surely, 2^6783004800 is an apocalyptic number.

6783004800 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 6783004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985603360).

6783004800 is an abundant number, since it is smaller than the sum of its proper divisors (23188201920).

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

6783004800 is a wasteful number, since it uses less digits than its factorization.

6783004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6783004800 is about 82358.9995082505. Note that the first 3 decimals coincide. The cubic root of 6783004800 is about 1892.9568230135.

The spelling of 6783004800 in words is "six billion, seven hundred eighty-three million, four thousand, eight hundred".