830800800000 has 540 divisors, whose sum is σ = 3096665402292. Its totient is φ = 221529600000.

The previous prime is 830800799993. The next prime is 830800800031. The reversal of 830800800000 is 8008038.

It can be written as a sum of positive squares in 6 ways, for example, as 810518482944 + 20282317056 = 900288^2 + 142416^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64793590 + ... + 64806410.

Almost surely, 2^830800800000 is an apocalyptic number.

830800800000 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 830800800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548332701146).

830800800000 is an abundant number, since it is smaller than the sum of its proper divisors (2265864602292).

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

830800800000 is an frugal number, since it uses more digits than its factorization.

830800800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12874 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 830800800000 its reverse (8008038), we get a palindrome (830808808038).

The spelling of 830800800000 in words is "eight hundred thirty billion, eight hundred million, eight hundred thousand".