828334080000 has 1360 divisors, whose sum is σ = 3537784546560. Its totient is φ = 187564032000.

The previous prime is 828334079987. The next prime is 828334080043. The reversal of 828334080000 is 80433828.

It is a happy number.

It is a super-2 number, since 2×828334080000² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 7741439947 + ... + 7741440053.

Almost surely, 2^828334080000 is an apocalyptic number.

828334080000 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 828334080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768892273280).

828334080000 is an abundant number, since it is smaller than the sum of its proper divisors (2709450466560).

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

828334080000 is an frugal number, since it uses more digits than its factorization.

828334080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 828334080000 in words is "eight hundred twenty-eight billion, three hundred thirty-four million, eighty thousand".