7778482800 has 240 divisors, whose sum is σ = 28060584960. Its totient is φ = 1824768000.

The previous prime is 7778482799. The next prime is 7778482823. The reversal of 7778482800 is 82848777.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399696 + ... + 418704.

It is an arithmetic number, because the mean of its divisors is an integer number (116919104).

Almost surely, 2^7778482800 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 7778482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030292480).

7778482800 is an abundant number, since it is smaller than the sum of its proper divisors (20282102160).

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

7778482800 is a wasteful number, since it uses less digits than its factorization.

7778482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19072 (or 19061 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 51.

The square root of 7778482800 is about 88195.7073785340. The cubic root of 7778482800 is about 1981.3671814513.

The spelling of 7778482800 in words is "seven billion, seven hundred seventy-eight million, four hundred eighty-two thousand, eight hundred".