80971200 has 126 divisors (see below), whose sum is σ = 287841944. Its totient is φ = 21588480.

The previous prime is 80971199. The next prime is 80971229. The reversal of 80971200 is 217908.

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 17 ways as a sum of consecutive naturals, for example, 11589 + ... + 17211.

Almost surely, 2^80971200 is an apocalyptic number.

80971200 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 80971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143920972).

80971200 is an abundant number, since it is smaller than the sum of its proper divisors (206870744).

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

80971200 is a wasteful number, since it uses less digits than its factorization.

80971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 80971200 is about 8998.3998577525. The cubic root of 80971200 is about 432.6235850287.

The spelling of 80971200 in words is "eighty million, nine hundred seventy-one thousand, two hundred".