80905704300 has 108 divisors (see below), whose sum is σ = 254537927280. Its totient is φ = 21494586240.

The previous prime is 80905704289. The next prime is 80905704307. The reversal of 80905704300 is 340750908.

80905704300 is a `hidden beast` number, since 80 + 9 + 0 + 570 + 4 + 3 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (80905704307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75009 + ... + 409191.

It is an arithmetic number, because the mean of its divisors is an integer number (2356832660).

Almost surely, 2^80905704300 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 80905704300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127268963640).

80905704300 is an abundant number, since it is smaller than the sum of its proper divisors (173632222980).

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

80905704300 is a wasteful number, since it uses less digits than its factorization.

80905704300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334472 (or 334462 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 80905704300 in words is "eighty billion, nine hundred five million, seven hundred four thousand, three hundred".