84785760 has 144 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 22339584.

The previous prime is 84785747. The next prime is 84785801. The reversal of 84785760 is 6758748.

84785760 is a `hidden beast` number, since 8 + 4 + 78 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139377 + ... + 139983.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^84785760 is an apocalyptic number.

84785760 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 84785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

84785760 is an abundant number, since it is smaller than the sum of its proper divisors (208010016).

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

84785760 is a wasteful number, since it uses less digits than its factorization.

84785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 84785760 is about 9207.9183315231. The cubic root of 84785760 is about 439.3132537620.

The spelling of 84785760 in words is "eighty-four million, seven hundred eighty-five thousand, seven hundred sixty".