801829082880 has 2304 divisors, whose sum is σ = 3649295462400. Its totient is φ = 164539662336.

The previous prime is 801829082849. The next prime is 801829082921. The reversal of 801829082880 is 88280928108.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9660591319 + ... + 9660591401.

It is an arithmetic number, because the mean of its divisors is an integer number (1583895600).

Almost surely, 2^801829082880 is an apocalyptic number.

801829082880 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 801829082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824647731200).

801829082880 is an abundant number, since it is smaller than the sum of its proper divisors (2847466379520).

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

801829082880 is an equidigital number, since it uses as much as digits as its factorization.

801829082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 801829082880 in words is "eight hundred one billion, eight hundred twenty-nine million, eighty-two thousand, eight hundred eighty".