80972880 has 80 divisors (see below), whose sum is σ = 261947520. Its totient is φ = 20652544.

The previous prime is 80972833. The next prime is 80972897. The reversal of 80972880 is 8827908.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 1815 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (3274344).

Almost surely, 2^80972880 is an apocalyptic number.

80972880 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 80972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130973760).

80972880 is an abundant number, since it is smaller than the sum of its proper divisors (180974640).

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

80972880 is a wasteful number, since it uses less digits than its factorization.

80972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 80972880 is about 8998.4932071986. The cubic root of 80972880 is about 432.6265770497.

The spelling of 80972880 in words is "eighty million, nine hundred seventy-two thousand, eight hundred eighty".