7805082240 has 224 divisors, whose sum is σ = 27977411700. Its totient is φ = 2081230848.

The previous prime is 7805082239. The next prime is 7805082317. The reversal of 7805082240 is 422805087.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7804662336 + 419904 = 88344^2 + 648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7805082195 and 7805082204.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 458196 + ... + 474924.

Almost surely, 2^7805082240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7805082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988705850).

7805082240 is an abundant number, since it is smaller than the sum of its proper divisors (20172329460).

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

7805082240 is an equidigital number, since it uses as much as digits as its factorization.

7805082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7805082240 is about 88346.3764961529. The cubic root of 7805082240 is about 1983.6231182315.

The spelling of 7805082240 in words is "seven billion, eight hundred five million, eighty-two thousand, two hundred forty".