80405360 has 80 divisors (see below), whose sum is σ = 216938496. Its totient is φ = 27143424.

The previous prime is 80405357. The next prime is 80405363. The reversal of 80405360 is 6350408.

It is an interprime number because it is at equal distance from previous prime (80405357) and next prime (80405363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80405363) 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 15 ways as a sum of consecutive naturals, for example, 36449 + ... + 38591.

Almost surely, 2^80405360 is an apocalyptic number.

80405360 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 80405360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108469248).

80405360 is an abundant number, since it is smaller than the sum of its proper divisors (136533136).

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

80405360 is a wasteful number, since it uses less digits than its factorization.

80405360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 80405360 is about 8966.9035904263. The cubic root of 80405360 is about 431.6134802930.

Adding to 80405360 its reverse (6350408), we get a palindrome (86755768).

The spelling of 80405360 in words is "eighty million, four hundred five thousand, three hundred sixty".