7944766800 has 240 divisors, whose sum is σ = 26916610560. Its totient is φ = 1999872000.

The previous prime is 7944766793. The next prime is 7944766801. The reversal of 7944766800 is 86674497.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944766801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1522596 + ... + 1527804.

It is an arithmetic number, because the mean of its divisors is an integer number (112152544).

Almost surely, 2^7944766800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7944766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458305280).

7944766800 is an abundant number, since it is smaller than the sum of its proper divisors (18971843760).

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

7944766800 is a wasteful number, since it uses less digits than its factorization.

7944766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 7944766800 is about 89133.4213412679. The cubic root of 7944766800 is about 1995.3865997850.

The spelling of 7944766800 in words is "seven billion, nine hundred forty-four million, seven hundred sixty-six thousand, eight hundred".