7720484800 has 168 divisors, whose sum is σ = 21838066560. Its totient is φ = 2631552000.

The previous prime is 7720484797. The next prime is 7720484801. The reversal of 7720484800 is 84840277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7720484801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2002875 + ... + 2006725.

Almost surely, 2^7720484800 is an apocalyptic number.

7720484800 is a gapful number since it is divisible by the number (70) 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 7720484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919033280).

7720484800 is an abundant number, since it is smaller than the sum of its proper divisors (14117581760).

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

7720484800 is a wasteful number, since it uses less digits than its factorization.

7720484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 7720484800 is about 87866.2893264533. The cubic root of 7720484800 is about 1976.4303946464.

The spelling of 7720484800 in words is "seven billion, seven hundred twenty million, four hundred eighty-four thousand, eight hundred".