7782220800 has 528 divisors, whose sum is σ = 29139454400. Its totient is φ = 2060328960.

The previous prime is 7782220799. The next prime is 7782220807. The reversal of 7782220800 is 80222877.

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

It is not an unprimeable number, because it can be changed into a prime (7782220807) 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, 55987131 + ... + 55987269.

Almost surely, 2^7782220800 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 7782220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569727200).

7782220800 is an abundant number, since it is smaller than the sum of its proper divisors (21357233600).

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

7782220800 is an equidigital number, since it uses as much as digits as its factorization.

7782220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7782220800 is about 88216.8963407804. The cubic root of 7782220800 is about 1981.6845168770.

The spelling of 7782220800 in words is "seven billion, seven hundred eighty-two million, two hundred twenty thousand, eight hundred".