80467200 has 324 divisors, whose sum is σ = 316313088. Its totient is φ = 19353600.

The previous prime is 80467181. The next prime is 80467213. The reversal of 80467200 is 276408.

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 35 ways as a sum of consecutive naturals, for example, 633537 + ... + 633663.

Almost surely, 2^80467200 is an apocalyptic number.

80467200 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 80467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158156544).

80467200 is an abundant number, since it is smaller than the sum of its proper divisors (235845888).

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

80467200 is a wasteful number, since it uses less digits than its factorization.

80467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 80467200 is about 8970.3511636948. The cubic root of 80467200 is about 431.7241036720.

The spelling of 80467200 in words is "eighty million, four hundred sixty-seven thousand, two hundred".