80391200 has 54 divisors (see below), whose sum is σ = 196876071. Its totient is φ = 32055040.

The previous prime is 80391193. The next prime is 80391221. The reversal of 80391200 is 219308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 753424 + 79637776 = 868^2 + 8924^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6340.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253442 + ... + 253758.

Almost surely, 2^80391200 is an apocalyptic number.

80391200 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 80391200

80391200 is an abundant number, since it is smaller than the sum of its proper divisors (116484871).

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

80391200 is an equidigital number, since it uses as much as digits as its factorization.

80391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 80391200 is about 8966.1139854454. The cubic root of 80391200 is about 431.5881419918.

The spelling of 80391200 in words is "eighty million, three hundred ninety-one thousand, two hundred".