84785792 has 128 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 32256000.

The previous prime is 84785747. The next prime is 84785801. The reversal of 84785792 is 29758748.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 84785792.

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 15 ways as a sum of consecutive naturals, for example, 337667 + ... + 337917.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^84785792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

84785792 is an abundant number, since it is smaller than the sum of its proper divisors (131127808).

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

84785792 is a wasteful number, since it uses less digits than its factorization.

84785792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 84785792 is about 9207.9200691579. The cubic root of 84785792 is about 439.3133090308.

The spelling of 84785792 in words is "eighty-four million, seven hundred eighty-five thousand, seven hundred ninety-two".