80575734720 has 448 divisors, whose sum is σ = 284637943296. Its totient is φ = 19183288320.

The previous prime is 80575734697. The next prime is 80575734731. The reversal of 80575734720 is 2743757508.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 80575734720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97430947 + ... + 97431773.

It is an arithmetic number, because the mean of its divisors is an integer number (635352552).

Almost surely, 2^80575734720 is an apocalyptic number.

80575734720 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 80575734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142318971648).

80575734720 is an abundant number, since it is smaller than the sum of its proper divisors (204062208576).

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

80575734720 is a wasteful number, since it uses less digits than its factorization.

80575734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 80575734720 in words is "eighty billion, five hundred seventy-five million, seven hundred thirty-four thousand, seven hundred twenty".