80895600 has 180 divisors, whose sum is σ = 293235696. Its totient is φ = 20613120.

The previous prime is 80895569. The next prime is 80895641. The reversal of 80895600 is 659808.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 82312 + ... + 83288.

Almost surely, 2^80895600 is an apocalyptic number.

80895600 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 80895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146617848).

80895600 is an abundant number, since it is smaller than the sum of its proper divisors (212340096).

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

80895600 is a wasteful number, since it uses less digits than its factorization.

80895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 80895600 is about 8994.1981299057. The cubic root of 80895600 is about 432.4889012265.

It can be divided in two parts, 8089 and 5600, that added together give a square (13689 = 117²).

The spelling of 80895600 in words is "eighty million, eight hundred ninety-five thousand, six hundred".