828760378320 has 1440 divisors, whose sum is σ = 3528786643200. Its totient is φ = 170503667712.

The previous prime is 828760378261. The next prime is 828760378399. The reversal of 828760378320 is 23873067828.

828760378320 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 603 + 7 + 8 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5962304811 + ... + 5962304949.

It is an arithmetic number, because the mean of its divisors is an integer number (2450546280).

Almost surely, 2^828760378320 is an apocalyptic number.

828760378320 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 828760378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764393321600).

828760378320 is an abundant number, since it is smaller than the sum of its proper divisors (2700026264880).

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

828760378320 is a wasteful number, since it uses less digits than its factorization.

828760378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 828760378320 in words is "eight hundred twenty-eight billion, seven hundred sixty million, three hundred seventy-eight thousand, three hundred twenty".