855982080 has 360 divisors, whose sum is σ = 3148777632. Its totient is φ = 222953472.

The previous prime is 855982033. The next prime is 855982097. The reversal of 855982080 is 80289558.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×855982080² = 1465410642562252800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906539 + ... + 19906581.

Almost surely, 2^855982080 is an apocalyptic number.

855982080 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 855982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574388816).

855982080 is an abundant number, since it is smaller than the sum of its proper divisors (2292795552).

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

855982080 is an frugal number, since it uses more digits than its factorization.

855982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 855982080 is about 29257.1714285575. The cubic root of 855982080 is about 949.4852539207.

It can be divided in two parts, 85598 and 2080, that added together give a palindrome (87678).

The spelling of 855982080 in words is "eight hundred fifty-five million, nine hundred eighty-two thousand, eighty".