80791200 has 324 divisors, whose sum is σ = 332849790. Its totient is φ = 18385920.

The previous prime is 80791181. The next prime is 80791201. The reversal of 80791200 is 219708.

It can be written as a sum of positive squares in 3 ways, for example, as 74857104 + 5934096 = 8652^2 + 2436^2 .

It is not an unprimeable number, because it can be changed into a prime (80791201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352686 + ... + 352914.

Almost surely, 2^80791200 is an apocalyptic number.

80791200 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 80791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166424895).

80791200 is an abundant number, since it is smaller than the sum of its proper divisors (252058590).

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

80791200 is a wasteful number, since it uses less digits than its factorization.

80791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

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

The square root of 80791200 is about 8988.3925147937. The cubic root of 80791200 is about 432.3027712894.

The spelling of 80791200 in words is "eighty million, seven hundred ninety-one thousand, two hundred".