853079040 has 660 divisors, whose sum is σ = 3557776068. Its totient is φ = 194641920.

The previous prime is 853079033. The next prime is 853079047. The reversal of 853079040 is 40970358.

It is an interprime number because it is at equal distance from previous prime (853079033) and next prime (853079047).

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 361304064 = 22176^2 + 19008^2 .

It is a tau number, because it is divible by the number of its divisors (660).

It is a super-4 number, since 4×853079040⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 853078986 and 853079004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853079047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50181112 + ... + 50181128.

Almost surely, 2^853079040 is an apocalyptic number.

853079040 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 853079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778888034).

853079040 is an abundant number, since it is smaller than the sum of its proper divisors (2704697028).

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

853079040 is a wasteful number, since it uses less digits than its factorization.

853079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

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

The square root of 853079040 is about 29207.5168407039. The cubic root of 853079040 is about 948.4106536853.

The spelling of 853079040 in words is "eight hundred fifty-three million, seventy-nine thousand, forty".