852989280 has 576 divisors, whose sum is σ = 3431248128. Its totient is φ = 175472640.

The previous prime is 852989279. The next prime is 852989299. The reversal of 852989280 is 82989258.

852989280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19836939 + ... + 19836981.

It is an arithmetic number, because the mean of its divisors is an integer number (5957028).

Almost surely, 2^852989280 is an apocalyptic number.

852989280 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 852989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715624064).

852989280 is an abundant number, since it is smaller than the sum of its proper divisors (2578258848).

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

852989280 is a wasteful number, since it uses less digits than its factorization.

852989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 852989280 is about 29205.9802095393. The cubic root of 852989280 is about 948.3773889575.

The spelling of 852989280 in words is "eight hundred fifty-two million, nine hundred eighty-nine thousand, two hundred eighty".