80727360 has 224 divisors, whose sum is σ = 301093632. Its totient is φ = 17940480.

The previous prime is 80727349. The next prime is 80727397. The reversal of 80727360 is 6372708.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275374 + ... + 275666.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^80727360 is an apocalyptic number.

80727360 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 80727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

80727360 is an abundant number, since it is smaller than the sum of its proper divisors (220366272).

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

80727360 is a wasteful number, since it uses less digits than its factorization.

80727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 80727360 is about 8984.8405661982. The cubic root of 80727360 is about 432.1888748859.

The spelling of 80727360 in words is "eighty million, seven hundred twenty-seven thousand, three hundred sixty".