7280116800 has 336 divisors, whose sum is σ = 26239695552. Its totient is φ = 1752473600.

The previous prime is 7280116793. The next prime is 7280116801. The reversal of 7280116800 is 86110827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7280116801) 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, 9134002 + ... + 9134798.

It is an arithmetic number, because the mean of its divisors is an integer number (78094332).

Almost surely, 2^7280116800 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 7280116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119847776).

7280116800 is an abundant number, since it is smaller than the sum of its proper divisors (18959578752).

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

7280116800 is a wasteful number, since it uses less digits than its factorization.

7280116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 7280116800 is about 85323.6004866180. The cubic root of 7280116800 is about 1938.1145815842.

The spelling of 7280116800 in words is "seven billion, two hundred eighty million, one hundred sixteen thousand, eight hundred".