7280824320 has 1248 divisors, whose sum is σ = 34347156480. Its totient is φ = 1433272320.

The previous prime is 7280824319. The next prime is 7280824337. The reversal of 7280824320 is 234280827.

7280824320 is a `hidden beast` number, since 72 + 80 + 82 + 432 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383201271 + ... + 383201289.

It is an arithmetic number, because the mean of its divisors is an integer number (27521760).

Almost surely, 2^7280824320 is an apocalyptic number.

7280824320 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 7280824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173578240).

7280824320 is an abundant number, since it is smaller than the sum of its proper divisors (27066332160).

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

7280824320 is a wasteful number, since it uses less digits than its factorization.

7280824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7280824320 is about 85327.7464837787. The cubic root of 7280824320 is about 1938.1773649363.

The spelling of 7280824320 in words is "seven billion, two hundred eighty million, eight hundred twenty-four thousand, three hundred twenty".