8404789760 has 160 divisors (see below), whose sum is σ = 20949976080. Its totient is φ = 3231055872.

The previous prime is 8404789751. The next prime is 8404789787. The reversal of 8404789760 is 679874048.

It can be written as a sum of positive squares in 8 ways, for example, as 5778432256 + 2626357504 = 76016^2 + 51248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8429582 + ... + 8430578.

Almost surely, 2^8404789760 is an apocalyptic number.

8404789760 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 8404789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10474988040).

8404789760 is an abundant number, since it is smaller than the sum of its proper divisors (12545186320).

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

8404789760 is an equidigital number, since it uses as much as digits as its factorization.

8404789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 8404789760 is about 91677.6404582928. The cubic root of 8404789760 is about 2033.1790128036.

The spelling of 8404789760 in words is "eight billion, four hundred four million, seven hundred eighty-nine thousand, seven hundred sixty".