80285760 has 168 divisors, whose sum is σ = 281290776. Its totient is φ = 21012480.

The previous prime is 80285759. The next prime is 80285761. The reversal of 80285760 is 6758208.

80285760 is a `hidden beast` number, since 80 + 2 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80285759) and next prime (80285761).

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 76317696 = 1992^2 + 8736^2 .

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 (80285761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175452 + ... + 175908.

Almost surely, 2^80285760 is an apocalyptic number.

80285760 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 80285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140645388).

80285760 is an abundant number, since it is smaller than the sum of its proper divisors (201005016).

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

80285760 is a wasteful number, since it uses less digits than its factorization.

80285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 80285760 is about 8960.2321398499. The cubic root of 80285760 is about 431.3993710670.

The spelling of 80285760 in words is "eighty million, two hundred eighty-five thousand, seven hundred sixty".