852755904 has 896 divisors, whose sum is σ = 3686860800. Its totient is φ = 185794560.

The previous prime is 852755899. The next prime is 852755927. The reversal of 852755904 is 409557258.

852755904 = T₃₅₁ + T₃₅₂ + ... + T₁₇₂₇.

852755904 is a `hidden beast` number, since 8 + 52 + 7 + 5 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 852755904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29405362 + ... + 29405390.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^852755904 is an apocalyptic number.

852755904 is a gapful number since it is divisible by the number (84) 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 852755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

852755904 is an abundant number, since it is smaller than the sum of its proper divisors (2834104896).

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

852755904 is a wasteful number, since it uses less digits than its factorization.

852755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 852755904 is about 29201.9845900925. The cubic root of 852755904 is about 948.2908897424.

The spelling of 852755904 in words is "eight hundred fifty-two million, seven hundred fifty-five thousand, nine hundred four".