856078752320 has 224 divisors, whose sum is σ = 2239767936000. Its totient is φ = 309082880000.

The previous prime is 856078752301. The next prime is 856078752359. The reversal of 856078752320 is 23257870658.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317182331 + ... + 317185029.

It is an arithmetic number, because the mean of its divisors is an integer number (9998964000).

Almost surely, 2^856078752320 is an apocalyptic number.

856078752320 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 856078752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119883968000).

856078752320 is an abundant number, since it is smaller than the sum of its proper divisors (1383689183680).

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

856078752320 is a wasteful number, since it uses less digits than its factorization.

856078752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 856078752320 in words is "eight hundred fifty-six billion, seventy-eight million, seven hundred fifty-two thousand, three hundred twenty".