80213760 has 288 divisors, whose sum is σ = 311996160. Its totient is φ = 19353600.

The previous prime is 80213711. The next prime is 80213761. The reversal of 80213760 is 6731208.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80213761) 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 31 ways as a sum of consecutive naturals, for example, 380055 + ... + 380265.

It is an arithmetic number, because the mean of its divisors is an integer number (1083320).

Almost surely, 2^80213760 is an apocalyptic number.

80213760 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 80213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155998080).

80213760 is an abundant number, since it is smaller than the sum of its proper divisors (231782400).

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

80213760 is a wasteful number, since it uses less digits than its factorization.

80213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80213760 is about 8956.2134856199. The cubic root of 80213760 is about 431.2703733286.

Adding to 80213760 its reverse (6731208), we get a palindrome (86944968).

It can be divided in two parts, 8021 and 3760, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 80213760 in words is "eighty million, two hundred thirteen thousand, seven hundred sixty".