80880832000 has 320 divisors, whose sum is σ = 216477930240. Its totient is φ = 30031872000.

The previous prime is 80880831991. The next prime is 80880832001. The reversal of 80880832000 is 23808808.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80880832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85951530 + ... + 85952470.

It is an arithmetic number, because the mean of its divisors is an integer number (676493532).

Almost surely, 2^80880832000 is an apocalyptic number.

80880832000 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 80880832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108238965120).

80880832000 is an abundant number, since it is smaller than the sum of its proper divisors (135597098240).

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

80880832000 is an equidigital number, since it uses as much as digits as its factorization.

80880832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 80880832000 in words is "eighty billion, eight hundred eighty million, eight hundred thirty-two thousand".