75681027760 has 160 divisors (see below), whose sum is σ = 193421245248. Its totient is φ = 27366543360.

The previous prime is 75681027749. The next prime is 75681027761. The reversal of 75681027760 is 6772018657.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75681027761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44701474 + ... + 44703166.

Almost surely, 2^75681027760 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 75681027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96710622624).

75681027760 is an abundant number, since it is smaller than the sum of its proper divisors (117740217488).

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

75681027760 is a wasteful number, since it uses less digits than its factorization.

75681027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 75681027760 in words is "seventy-five billion, six hundred eighty-one million, twenty-seven thousand, seven hundred sixty".