7280313600 has 432 divisors, whose sum is σ = 28914260480. Its totient is φ = 1575936000.

The previous prime is 7280313589. The next prime is 7280313611. The reversal of 7280313600 is 63130827.

It is an interprime number because it is at equal distance from previous prime (7280313589) and next prime (7280313611).

It is a super-2 number, since 2×7280313600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552175 + ... + 2555025.

Almost surely, 2^7280313600 is an apocalyptic number.

7280313600 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 7280313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457130240).

7280313600 is an abundant number, since it is smaller than the sum of its proper divisors (21633946880).

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

7280313600 is a wasteful number, since it uses less digits than its factorization.

7280313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7280313600 is about 85324.7537353610. The cubic root of 7280313600 is about 1938.1320454759.

The spelling of 7280313600 in words is "seven billion, two hundred eighty million, three hundred thirteen thousand, six hundred".