852307920 has 240 divisors, whose sum is σ = 3144173760. Its totient is φ = 213829632.

The previous prime is 852307919. The next prime is 852307949. The reversal of 852307920 is 29703258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329191 + ... + 331769.

It is an arithmetic number, because the mean of its divisors is an integer number (13100724).

Almost surely, 2^852307920 is an apocalyptic number.

852307920 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 852307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572086880).

852307920 is an abundant number, since it is smaller than the sum of its proper divisors (2291865840).

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

852307920 is a wasteful number, since it uses less digits than its factorization.

852307920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 852307920 is about 29194.3131448575. The cubic root of 852307920 is about 948.1248033095.

The spelling of 852307920 in words is "eight hundred fifty-two million, three hundred seven thousand, nine hundred twenty".