7285797120 has 576 divisors, whose sum is σ = 27879505920. Its totient is φ = 1587216384.

The previous prime is 7285797109. The next prime is 7285797143. The reversal of 7285797120 is 217975827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7285797120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92225241 + ... + 92225319.

It is an arithmetic number, because the mean of its divisors is an integer number (48401920).

Almost surely, 2^7285797120 is an apocalyptic number.

7285797120 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 7285797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939752960).

7285797120 is an abundant number, since it is smaller than the sum of its proper divisors (20593708800).

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

7285797120 is a wasteful number, since it uses less digits than its factorization.

7285797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The square root of 7285797120 is about 85356.8809177093. The cubic root of 7285797120 is about 1938.6185226277.

The spelling of 7285797120 in words is "seven billion, two hundred eighty-five million, seven hundred ninety-seven thousand, one hundred twenty".