80352720 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 18072576.

The previous prime is 80352719. The next prime is 80352733. The reversal of 80352720 is 2725308.

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

It is a super-3 number, since 3×80352720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 539206 + ... + 539354.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^80352720 is an apocalyptic number.

80352720 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 80352720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

80352720 is an abundant number, since it is smaller than the sum of its proper divisors (233020080).

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

80352720 is a wasteful number, since it uses less digits than its factorization.

80352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 80352720 is about 8963.9678714284. The cubic root of 80352720 is about 431.5192697679.

The spelling of 80352720 in words is "eighty million, three hundred fifty-two thousand, seven hundred twenty".