80454816 has 288 divisors, whose sum is σ = 276696000. Its totient is φ = 22643712.

The previous prime is 80454811. The next prime is 80454817. The reversal of 80454816 is 61845408.

80454816 = 183³ + 184³ + ... + 194³.

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

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 (80454811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2774290 + ... + 2774318.

It is an arithmetic number, because the mean of its divisors is an integer number (960750).

Almost surely, 2^80454816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138348000).

80454816 is an abundant number, since it is smaller than the sum of its proper divisors (196241184).

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

80454816 is a wasteful number, since it uses less digits than its factorization.

80454816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80454816 is about 8969.6608631542. The cubic root of 80454816 is about 431.7019549141.

The spelling of 80454816 in words is "eighty million, four hundred fifty-four thousand, eight hundred sixteen".