80066448 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 19837440.

The previous prime is 80066359. The next prime is 80066449. The reversal of 80066448 is 84466008.

80066448 is a `hidden beast` number, since 8 + 0 + 0 + 6 + 644 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80066449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964615 + ... + 964697.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^80066448 is an apocalyptic number.

80066448 is a gapful number since it is divisible by the number (88) 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 80066448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

80066448 is an abundant number, since it is smaller than the sum of its proper divisors (219914352).

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

80066448 is a wasteful number, since it uses less digits than its factorization.

80066448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 80066448 is about 8947.9856951160. The cubic root of 80066448 is about 431.0062032221.

The spelling of 80066448 in words is "eighty million, sixty-six thousand, four hundred forty-eight".