80744117760 has 960 divisors, whose sum is σ = 308860231680. Its totient is φ = 20185251840.

The previous prime is 80744117749. The next prime is 80744117777. The reversal of 80744117760 is 6771144708.

80744117760 is a `hidden beast` number, since 80 + 7 + 441 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×80744117760² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022077401 + ... + 1022077479.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^80744117760 is an apocalyptic number.

80744117760 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 80744117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

80744117760 is an abundant number, since it is smaller than the sum of its proper divisors (228116113920).

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

80744117760 is an equidigital number, since it uses as much as digits as its factorization.

80744117760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 80744117760 in words is "eighty billion, seven hundred forty-four million, one hundred seventeen thousand, seven hundred sixty".