7801741680 has 160 divisors (see below), whose sum is σ = 25431943680. Its totient is φ = 1974635520.

The previous prime is 7801741589. The next prime is 7801741681. The reversal of 7801741680 is 861471087.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801741681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717726 + ... + 728514.

It is an arithmetic number, because the mean of its divisors is an integer number (158949648).

Almost surely, 2^7801741680 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 7801741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715971840).

7801741680 is an abundant number, since it is smaller than the sum of its proper divisors (17630202000).

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

7801741680 is a wasteful number, since it uses less digits than its factorization.

7801741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 7801741680 is about 88327.4684342306. The cubic root of 7801741680 is about 1983.3400822374.

The spelling of 7801741680 in words is "seven billion, eight hundred one million, seven hundred forty-one thousand, six hundred eighty".