80705520 has 240 divisors, whose sum is σ = 315694080. Its totient is φ = 18095616.

The previous prime is 80705519. The next prime is 80705543. The reversal of 80705520 is 2550708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337561 + ... + 337799.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 2^80705520 is an apocalyptic number.

80705520 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 80705520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

80705520 is an abundant number, since it is smaller than the sum of its proper divisors (234988560).

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

80705520 is a wasteful number, since it uses less digits than its factorization.

80705520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 80705520 is about 8983.6251034869. The cubic root of 80705520 is about 432.1498965421.

It can be divided in two parts, 80705 and 520, that added together give a square (81225 = 285²).

The spelling of 80705520 in words is "eighty million, seven hundred five thousand, five hundred twenty".