80312744160 has 288 divisors, whose sum is σ = 310057517952. Its totient is φ = 19469652480.

The previous prime is 80312744147. The next prime is 80312744201. The reversal of 80312744160 is 6144721308.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×80312744160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333787 + ... + 521573.

It is an arithmetic number, because the mean of its divisors is an integer number (1076588604).

Almost surely, 2^80312744160 is an apocalyptic number.

80312744160 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 80312744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155028758976).

80312744160 is an abundant number, since it is smaller than the sum of its proper divisors (229744773792).

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

80312744160 is a wasteful number, since it uses less digits than its factorization.

80312744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187828 (or 187808 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 80312744160 in words is "eighty billion, three hundred twelve million, seven hundred forty-four thousand, one hundred sixty".