80787168 has 144 divisors (see below), whose sum is σ = 286505856. Its totient is φ = 20977920.

The previous prime is 80787167. The next prime is 80787181. The reversal of 80787168 is 86178708.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80787167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20355 + ... + 23997.

It is an arithmetic number, because the mean of its divisors is an integer number (1989624).

Almost surely, 2^80787168 is an apocalyptic number.

80787168 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 80787168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143252928).

80787168 is an abundant number, since it is smaller than the sum of its proper divisors (205718688).

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

80787168 is a wasteful number, since it uses less digits than its factorization.

80787168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 80787168 is about 8988.1682227248. The cubic root of 80787168 is about 432.2955796077.

The spelling of 80787168 in words is "eighty million, seven hundred eighty-seven thousand, one hundred sixty-eight".