80168800 has 72 divisors (see below), whose sum is σ = 204268176. Its totient is φ = 30666240.

The previous prime is 80168791. The next prime is 80168827. The reversal of 80168800 is 886108.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16222 + ... + 20578.

It is an arithmetic number, because the mean of its divisors is an integer number (2837058).

Almost surely, 2^80168800 is an apocalyptic number.

80168800 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 80168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102134088).

80168800 is an abundant number, since it is smaller than the sum of its proper divisors (124099376).

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

80168800 is a wasteful number, since it uses less digits than its factorization.

80168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 80168800 is about 8953.7031445095. The cubic root of 80168800 is about 431.1897822521.

The spelling of 80168800 in words is "eighty million, one hundred sixty-eight thousand, eight hundred".