80071200 has 288 divisors, whose sum is σ = 316854720. Its totient is φ = 19353600.

The previous prime is 80071169. The next prime is 80071247. The reversal of 80071200 is 217008.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×80071200² = 12822794138880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237432 + ... + 237768.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 2^80071200 is an apocalyptic number.

80071200 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 80071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

80071200 is an abundant number, since it is smaller than the sum of its proper divisors (236783520).

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

80071200 is a wasteful number, since it uses less digits than its factorization.

80071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 80071200 is about 8948.2512257983. The cubic root of 80071200 is about 431.0147298939.

Adding to 80071200 its reverse (217008), we get a palindrome (80288208).

The spelling of 80071200 in words is "eighty million, seventy-one thousand, two hundred".