853799520 has 288 divisors, whose sum is σ = 3232244736. Its totient is φ = 188697600.

The previous prime is 853799519. The next prime is 853799521. The reversal of 853799520 is 25997358.

It is a happy number.

853799520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (853799519) and next prime (853799521).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 853799520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853799521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728535 + ... + 729705.

It is an arithmetic number, because the mean of its divisors is an integer number (11223072).

Almost surely, 2^853799520 is an apocalyptic number.

853799520 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 853799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616122368).

853799520 is an abundant number, since it is smaller than the sum of its proper divisors (2378445216).

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

853799520 is a wasteful number, since it uses less digits than its factorization.

853799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 853799520 is about 29219.8480488862. The cubic root of 853799520 is about 948.6775764436.

The spelling of 853799520 in words is "eight hundred fifty-three million, seven hundred ninety-nine thousand, five hundred twenty".