8790405120 has 520 divisors, whose sum is σ = 36060582624. Its totient is φ = 2006581248.

The previous prime is 8790405089. The next prime is 8790405139. The reversal of 8790405120 is 215040978.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11611782 + ... + 11612538.

Almost surely, 2^8790405120 is an apocalyptic number.

8790405120 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 8790405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030291312).

8790405120 is an abundant number, since it is smaller than the sum of its proper divisors (27270177504).

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

8790405120 is an equidigital number, since it uses as much as digits as its factorization.

8790405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8790405120 is about 93757.1603665555. The cubic root of 8790405120 is about 2063.8096092635.

The spelling of 8790405120 in words is "eight billion, seven hundred ninety million, four hundred five thousand, one hundred twenty".