80872960 has 80 divisors (see below), whose sum is σ = 221655456. Its totient is φ = 27721728.

The previous prime is 80872943. The next prime is 80872973. The reversal of 80872960 is 6927808.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15664 + ... + 20176.

Almost surely, 2^80872960 is an apocalyptic number.

80872960 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 80872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110827728).

80872960 is an abundant number, since it is smaller than the sum of its proper divisors (140782496).

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

80872960 is an equidigital number, since it uses as much as digits as its factorization.

80872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 80872960 is about 8992.9394527040. The cubic root of 80872960 is about 432.4485510208.

The spelling of 80872960 in words is "eighty million, eight hundred seventy-two thousand, nine hundred sixty".