80832000 has 160 divisors (see below), whose sum is σ = 269384544. Its totient is φ = 21504000.

The previous prime is 80831987. The next prime is 80832029. The reversal of 80832000 is 23808.

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

It is a congruent number.

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, 191790 + ... + 192210.

Almost surely, 2^80832000 is an apocalyptic number.

80832000 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 80832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134692272).

80832000 is an abundant number, since it is smaller than the sum of its proper divisors (188552544).

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

80832000 is an equidigital number, since it uses as much as digits as its factorization.

80832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80832000 is about 8990.6618221352. The cubic root of 80832000 is about 432.3755308012.

Adding to 80832000 its reverse (23808), we get a palindrome (80855808).

The spelling of 80832000 in words is "eighty million, eight hundred thirty-two thousand".