852862080 has 512 divisors, whose sum is σ = 3384115200. Its totient is φ = 178421760.

The previous prime is 852862067. The next prime is 852862081. The reversal of 852862080 is 80268258.

It is not an unprimeable number, because it can be changed into a prime (852862081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582676 + ... + 9582764.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2^852862080 is an apocalyptic number.

852862080 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 852862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692057600).

852862080 is an abundant number, since it is smaller than the sum of its proper divisors (2531253120).

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

852862080 is a wasteful number, since it uses less digits than its factorization.

852862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 852862080 is about 29203.8024921413. The cubic root of 852862080 is about 948.3302451056.

The spelling of 852862080 in words is "eight hundred fifty-two million, eight hundred sixty-two thousand, eighty".