7840385280 has 864 divisors, whose sum is σ = 34748523264. Its totient is φ = 1648263168.

The previous prime is 7840385237. The next prime is 7840385297. The reversal of 7840385280 is 825830487.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×7840385280² (a number of 21 digits) contains 22 as substring.

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

It is a zygodrome in base 6.

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 95 ways as a sum of consecutive naturals, for example, 28304502 + ... + 28304778.

Almost surely, 2^7840385280 is an apocalyptic number.

7840385280 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 7840385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374261632).

7840385280 is an abundant number, since it is smaller than the sum of its proper divisors (26908137984).

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

7840385280 is a wasteful number, since it uses less digits than its factorization.

7840385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7840385280 is about 88545.9501050161. The cubic root of 7840385280 is about 1986.6093182451.

The spelling of 7840385280 in words is "seven billion, eight hundred forty million, three hundred eighty-five thousand, two hundred eighty".