7801066240 has 144 divisors (see below), whose sum is σ = 20520370080. Its totient is φ = 2817884160.

The previous prime is 7801066219. The next prime is 7801066241. The reversal of 7801066240 is 426601087.

It is a junction number, because it is equal to n+sod(n) for n = 7801066196 and 7801066205.

It is not an unprimeable number, because it can be changed into a prime (7801066241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2208796 + ... + 2212324.

It is an arithmetic number, because the mean of its divisors is an integer number (142502570).

Almost surely, 2^7801066240 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 7801066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260185040).

7801066240 is an abundant number, since it is smaller than the sum of its proper divisors (12719303840).

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

7801066240 is a wasteful number, since it uses less digits than its factorization.

7801066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 7801066240 is about 88323.6448523271. The cubic root of 7801066240 is about 1983.2828443393.

The spelling of 7801066240 in words is "seven billion, eight hundred one million, sixty-six thousand, two hundred forty".