8785920 has 208 divisors, whose sum is σ = 33026112. Its totient is φ = 1966080.

The previous prime is 8785913. The next prime is 8785937. The reversal of 8785920 is 295878.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675834 + ... + 675846.

Almost surely, 2^8785920 is an apocalyptic number.

8785920 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 8785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513056).

8785920 is an abundant number, since it is smaller than the sum of its proper divisors (24240192).

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

8785920 is a wasteful number, since it uses less digits than its factorization.

8785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 8785920 is about 2964.1052612888. The cubic root of 8785920 is about 206.3458544348.

The spelling of 8785920 in words is "eight million, seven hundred eighty-five thousand, nine hundred twenty".