80509080600 has 768 divisors, whose sum is σ = 309355200000. Its totient is φ = 19119421440.

The previous prime is 80509080599. The next prime is 80509080637. The reversal of 80509080600 is 608090508.

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 191 ways as a sum of consecutive naturals, for example, 449771311 + ... + 449771489.

It is an arithmetic number, because the mean of its divisors is an integer number (402806250).

Almost surely, 2^80509080600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80509080600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600000).

80509080600 is an abundant number, since it is smaller than the sum of its proper divisors (228846119400).

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

80509080600 is a wasteful number, since it uses less digits than its factorization.

80509080600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 80509080600 in words is "eighty billion, five hundred nine million, eighty thousand, six hundred".