828779212800 has 2496 divisors, whose sum is σ = 4036734489600. Its totient is φ = 161375846400.

The previous prime is 828779212787. The next prime is 828779212819. The reversal of 828779212800 is 8212977828.

828779212800 is a `hidden beast` number, since 8 + 287 + 79 + 212 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3619123086 + ... + 3619123314.

Almost surely, 2^828779212800 is an apocalyptic number.

828779212800 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 828779212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018367244800).

828779212800 is an abundant number, since it is smaller than the sum of its proper divisors (3207955276800).

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

828779212800 is a wasteful number, since it uses less digits than its factorization.

828779212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 828779212800 in words is "eight hundred twenty-eight billion, seven hundred seventy-nine million, two hundred twelve thousand, eight hundred".