800829020160 has 768 divisors, whose sum is σ = 3098626876800. Its totient is φ = 195009970176.

The previous prime is 800829020141. The next prime is 800829020177. The reversal of 800829020160 is 61020928008.

It is a tau number, because it is divible by the number of its divisors (768).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348640132 + ... + 348642428.

Almost surely, 2^800829020160 is an apocalyptic number.

800829020160 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 800829020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549313438400).

800829020160 is an abundant number, since it is smaller than the sum of its proper divisors (2297797856640).

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

800829020160 is a wasteful number, since it uses less digits than its factorization.

800829020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 800829020160 its reverse (61020928008), we get a palindrome (861849948168).

The spelling of 800829020160 in words is "eight hundred billion, eight hundred twenty-nine million, twenty thousand, one hundred sixty".