828324126720 has 896 divisors, whose sum is σ = 3126914426880. Its totient is φ = 207665233920.

The previous prime is 828324126697. The next prime is 828324126731. The reversal of 828324126720 is 27621423828.

828324126720 is a `hidden beast` number, since 82 + 83 + 2 + 412 + 67 + 20 = 666.

It is a super-2 number, since 2×828324126720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1268489914 + ... + 1268490566.

Almost surely, 2^828324126720 is an apocalyptic number.

828324126720 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 828324126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563457213440).

828324126720 is an abundant number, since it is smaller than the sum of its proper divisors (2298590300160).

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

828324126720 is a wasteful number, since it uses less digits than its factorization.

828324126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 828324126720 in words is "eight hundred twenty-eight billion, three hundred twenty-four million, one hundred twenty-six thousand, seven hundred twenty".