80705880 has 192 divisors, whose sum is σ = 276363360. Its totient is φ = 20404224.

The previous prime is 80705879. The next prime is 80705881. The reversal of 80705880 is 8850708.

80705880 is a `hidden beast` number, since 8 + 0 + 70 + 588 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80705879) and next prime (80705881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80705881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972319 + ... + 972401.

Almost surely, 2^80705880 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 80705880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138181680).

80705880 is an abundant number, since it is smaller than the sum of its proper divisors (195657480).

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

80705880 is a wasteful number, since it uses less digits than its factorization.

80705880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 80705880 is about 8983.6451399195. The cubic root of 80705880 is about 432.1505390993.

The spelling of 80705880 in words is "eighty million, seven hundred five thousand, eight hundred eighty".