8081461760 has 160 divisors (see below), whose sum is σ = 19786358592. Its totient is φ = 3165143040.

The previous prime is 8081461741. The next prime is 8081461823. The reversal of 8081461760 is 671641808.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44648870 + ... + 44649050.

Almost surely, 2^8081461760 is an apocalyptic number.

8081461760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893179296).

8081461760 is an abundant number, since it is smaller than the sum of its proper divisors (11704896832).

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

8081461760 is a wasteful number, since it uses less digits than its factorization.

8081461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 8081461760 is about 89896.9507825488. The cubic root of 8081461760 is about 2006.7655677399.

The spelling of 8081461760 in words is "eight billion, eighty-one million, four hundred sixty-one thousand, seven hundred sixty".