80075520 has 288 divisors, whose sum is σ = 325731840. Its totient is φ = 18247680.

The previous prime is 80075477. The next prime is 80075521. The reversal of 80075520 is 2557008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (80075521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241755 + ... + 242085.

Almost surely, 2^80075520 is an apocalyptic number.

80075520 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 80075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162865920).

80075520 is an abundant number, since it is smaller than the sum of its proper divisors (245656320).

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

80075520 is a wasteful number, since it uses less digits than its factorization.

80075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

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

The square root of 80075520 is about 8948.4926104903. The cubic root of 80075520 is about 431.0224811209.

The spelling of 80075520 in words is "eighty million, seventy-five thousand, five hundred twenty".