7801241760 has 384 divisors, whose sum is σ = 30359992320. Its totient is φ = 1857945600.

The previous prime is 7801241737. The next prime is 7801241797. The reversal of 7801241760 is 671421087.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1738720 + ... + 1743200.

It is an arithmetic number, because the mean of its divisors is an integer number (79062480).

Almost surely, 2^7801241760 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 7801241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179996160).

7801241760 is an abundant number, since it is smaller than the sum of its proper divisors (22558750560).

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

7801241760 is a wasteful number, since it uses less digits than its factorization.

7801241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7801241760 is about 88324.6384651531. The cubic root of 7801241760 is about 1983.2977185109.

The spelling of 7801241760 in words is "seven billion, eight hundred one million, two hundred forty-one thousand, seven hundred sixty".