80947200 has 288 divisors, whose sum is σ = 292481280. Its totient is φ = 19660800.

The previous prime is 80947193. The next prime is 80947241. The reversal of 80947200 is 274908.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611185 + ... + 2611215.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^80947200 is an apocalyptic number.

80947200 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 80947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

80947200 is an abundant number, since it is smaller than the sum of its proper divisors (211534080).

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

80947200 is a wasteful number, since it uses less digits than its factorization.

80947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 80947200 is about 8997.0661884861. The cubic root of 80947200 is about 432.5808373519.

The spelling of 80947200 in words is "eighty million, nine hundred forty-seven thousand, two hundred".