8406789120 has 528 divisors, whose sum is σ = 31383948960. Its totient is φ = 2155216896.

The previous prime is 8406789101. The next prime is 8406789121. The reversal of 8406789120 is 219876048.

It is a super-4 number, since 4×8406789120⁴ (a number of 41 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8406789121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36080524 + ... + 36080756.

Almost surely, 2^8406789120 is an apocalyptic number.

8406789120 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 8406789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691974480).

8406789120 is an abundant number, since it is smaller than the sum of its proper divisors (22977159840).

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

8406789120 is a wasteful number, since it uses less digits than its factorization.

8406789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8406789120 is about 91688.5441044845. The cubic root of 8406789120 is about 2033.3402198698.

The spelling of 8406789120 in words is "eight billion, four hundred six million, seven hundred eighty-nine thousand, one hundred twenty".