853797120 has 576 divisors, whose sum is σ = 3337770240. Its totient is φ = 183500800.

The previous prime is 853797107. The next prime is 853797143. The reversal of 853797120 is 21797358.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20824300 + ... + 20824340.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^853797120 is an apocalyptic number.

853797120 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 853797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668885120).

853797120 is an abundant number, since it is smaller than the sum of its proper divisors (2483973120).

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

853797120 is a wasteful number, since it uses less digits than its factorization.

853797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 853797120 is about 29219.8069808820. The cubic root of 853797120 is about 948.6766875432.

The spelling of 853797120 in words is "eight hundred fifty-three million, seven hundred ninety-seven thousand, one hundred twenty".