80735180760 has 768 divisors, whose sum is σ = 324213321600. Its totient is φ = 17700913152.

The previous prime is 80735180759. The next prime is 80735180767. The reversal of 80735180760 is 6708153708.

80735180760 is a `hidden beast` number, since 8 + 0 + 73 + 518 + 0 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80735180767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86163012 + ... + 86163948.

Almost surely, 2^80735180760 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 80735180760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162106660800).

80735180760 is an abundant number, since it is smaller than the sum of its proper divisors (243478140840).

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

80735180760 is a wasteful number, since it uses less digits than its factorization.

80735180760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 80735180760 in words is "eighty billion, seven hundred thirty-five million, one hundred eighty thousand, seven hundred sixty".