80565408 has 288 divisors, whose sum is σ = 299920320. Its totient is φ = 20805120.

The previous prime is 80565403. The next prime is 80565409. The reversal of 80565408 is 80456508.

It is a happy number.

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 a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (80565403) 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, 465610 + ... + 465782.

It is an arithmetic number, because the mean of its divisors is an integer number (1041390).

Almost surely, 2^80565408 is an apocalyptic number.

80565408 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 80565408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

80565408 is an abundant number, since it is smaller than the sum of its proper divisors (219354912).

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

80565408 is a wasteful number, since it uses less digits than its factorization.

80565408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80565408 is about 8975.8235276770. The cubic root of 80565408 is about 431.8996680577.

Subtracting from 80565408 its reverse (80456508), we obtain a square (108900 = 330²).

The spelling of 80565408 in words is "eighty million, five hundred sixty-five thousand, four hundred eight".