7259248080 has 480 divisors, whose sum is σ = 29404010880. Its totient is φ = 1641185280.

The previous prime is 7259248067. The next prime is 7259248103. The reversal of 7259248080 is 808429527.

7259248080 is a `hidden beast` number, since 7 + 2 + 5 + 92 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11324560 + ... + 11325200.

It is an arithmetic number, because the mean of its divisors is an integer number (61258356).

Almost surely, 2^7259248080 is an apocalyptic number.

7259248080 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 7259248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702005440).

7259248080 is an abundant number, since it is smaller than the sum of its proper divisors (22144762800).

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

7259248080 is a wasteful number, since it uses less digits than its factorization.

7259248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7259248080 is about 85201.2211180098. The cubic root of 7259248080 is about 1936.2609172396.

The spelling of 7259248080 in words is "seven billion, two hundred fifty-nine million, two hundred forty-eight thousand, eighty".