80599509760 has 576 divisors, whose sum is σ = 251975162880. Its totient is φ = 23967498240.

The previous prime is 80599509737. The next prime is 80599509763. The reversal of 80599509760 is 6790599508.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 80599509695 and 80599509704.

It is not an unprimeable number, because it can be changed into a prime (80599509763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465893034 + ... + 465893206.

It is an arithmetic number, because the mean of its divisors is an integer number (437456880).

Almost surely, 2^80599509760 is an apocalyptic number.

80599509760 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 80599509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125987581440).

80599509760 is an abundant number, since it is smaller than the sum of its proper divisors (171375653120).

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

80599509760 is a wasteful number, since it uses less digits than its factorization.

80599509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 58.

The spelling of 80599509760 in words is "eighty billion, five hundred ninety-nine million, five hundred nine thousand, seven hundred sixty".