855078336 has 224 divisors, whose sum is σ = 2894868480. Its totient is φ = 242445312.

The previous prime is 855078331. The next prime is 855078353. The reversal of 855078336 is 633870558.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 855078291 and 855078300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855078331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697250 + ... + 2697566.

It is an arithmetic number, because the mean of its divisors is an integer number (12923520).

Almost surely, 2^855078336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447434240).

855078336 is an abundant number, since it is smaller than the sum of its proper divisors (2039790144).

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

855078336 is a wasteful number, since it uses less digits than its factorization.

855078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 855078336 is about 29241.7225210828. The cubic root of 855078336 is about 949.1509814365.

The spelling of 855078336 in words is "eight hundred fifty-five million, seventy-eight thousand, three hundred thirty-six".