7260785280 has 768 divisors, whose sum is σ = 30571407360. Its totient is φ = 1552711680.

The previous prime is 7260785269. The next prime is 7260785293. The reversal of 7260785280 is 825870627.

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

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 95 ways as a sum of consecutive naturals, for example, 46246962 + ... + 46247118.

It is an arithmetic number, because the mean of its divisors is an integer number (39806520).

Almost surely, 2^7260785280 is an apocalyptic number.

7260785280 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 7260785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285703680).

7260785280 is an abundant number, since it is smaller than the sum of its proper divisors (23310622080).

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

7260785280 is a wasteful number, since it uses less digits than its factorization.

7260785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7260785280 is about 85210.2416379627. The cubic root of 7260785280 is about 1936.3975801640.

The spelling of 7260785280 in words is "seven billion, two hundred sixty million, seven hundred eighty-five thousand, two hundred eighty".