80895360 has 256 divisors, whose sum is σ = 318044160. Its totient is φ = 17031168.

The previous prime is 80895343. The next prime is 80895361. The reversal of 80895360 is 6359808.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80895361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174489 + ... + 174951.

It is an arithmetic number, because the mean of its divisors is an integer number (1242360).

Almost surely, 2^80895360 is an apocalyptic number.

80895360 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 80895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159022080).

80895360 is an abundant number, since it is smaller than the sum of its proper divisors (237148800).

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

80895360 is a wasteful number, since it uses less digits than its factorization.

80895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 80895360 is about 8994.1847879616. The cubic root of 80895360 is about 432.4884735253.

The spelling of 80895360 in words is "eighty million, eight hundred ninety-five thousand, three hundred sixty".