8001609760 has 24 divisors (see below), whose sum is σ = 18903803436. Its totient is φ = 3200643840.

The previous prime is 8001609661. The next prime is 8001609767. The reversal of 8001609760 is 679061008.

It can be written as a sum of positive squares in 2 ways, for example, as 6408322704 + 1593287056 = 80052^2 + 39916^2 .

It is not an unprimeable number, because it can be changed into a prime (8001609767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25004871 + ... + 25005190.

Almost surely, 2^8001609760 is an apocalyptic number.

8001609760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001609760 is an abundant number, since it is smaller than the sum of its proper divisors (10902193676).

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

8001609760 is a wasteful number, since it uses less digits than its factorization.

8001609760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50010076 (or 50010068 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 8001609760 is about 89451.7174793195. The cubic root of 8001609760 is about 2000.1341376700.

The spelling of 8001609760 in words is "eight billion, one million, six hundred nine thousand, seven hundred sixty".