820832400000 has 384 divisors, whose sum is σ = 3028090564800. Its totient is φ = 218885760000.

The previous prime is 820832399977. The next prime is 820832400041. The reversal of 820832400000 is 4238028.

820832400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 10761999 + ... + 10838001.

Almost surely, 2^820832400000 is an apocalyptic number.

820832400000 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 820832400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514045282400).

820832400000 is an abundant number, since it is smaller than the sum of its proper divisors (2207258164800).

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

820832400000 is an frugal number, since it uses more digits than its factorization.

820832400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76051 (or 76013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 820832400000 its reverse (4238028), we get a palindrome (820836638028).

The spelling of 820832400000 in words is "eight hundred twenty billion, eight hundred thirty-two million, four hundred thousand".