80736445440 has 1320 divisors, whose sum is σ = 350695069560. Its totient is φ = 17687642112.

The previous prime is 80736445429. The next prime is 80736445453. The reversal of 80736445440 is 4454463708.

80736445440 is a `hidden beast` number, since 80 + 73 + 64 + 4 + 5 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10989748224 + 69746697216 = 104832^2 + 264096^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 589317052 + ... + 589317188.

It is an arithmetic number, because the mean of its divisors is an integer number (265678083).

Almost surely, 2^80736445440 is an apocalyptic number.

80736445440 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 80736445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175347534780).

80736445440 is an abundant number, since it is smaller than the sum of its proper divisors (269958624120).

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

80736445440 is a wasteful number, since it uses less digits than its factorization.

80736445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 80736445440 in words is "eighty billion, seven hundred thirty-six million, four hundred forty-five thousand, four hundred forty".