80263680 has 160 divisors (see below), whose sum is σ = 293445504. Its totient is φ = 18333696.

The previous prime is 80263633. The next prime is 80263751. The reversal of 80263680 is 8636208.

It is a Cunningham number, because it is equal to 8959²-1.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53014 + ... + 54506.

Almost surely, 2^80263680 is an apocalyptic number.

80263680 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 80263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146722752).

80263680 is an abundant number, since it is smaller than the sum of its proper divisors (213181824).

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

80263680 is a wasteful number, since it uses less digits than its factorization.

80263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 80263680 is about 8958.9999441902. Note that the first 4 decimals coincide. The cubic root of 80263680 is about 431.3598199625.

Adding to 80263680 its reverse (8636208), we get a palindrome (88899888).

The spelling of 80263680 in words is "eighty million, two hundred sixty-three thousand, six hundred eighty".