845419120 has 120 divisors (see below), whose sum is σ = 2432763936. Its totient is φ = 267531264.

The previous prime is 845419097. The next prime is 845419121. The reversal of 845419120 is 21914548.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845419121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90174 + ... + 99106.

Almost surely, 2^845419120 is an apocalyptic number.

845419120 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 845419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216381968).

845419120 is an abundant number, since it is smaller than the sum of its proper divisors (1587344816).

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

845419120 is a wasteful number, since it uses less digits than its factorization.

845419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 845419120 is about 29076.0918969520. The cubic root of 845419120 is about 945.5634760854.

The spelling of 845419120 in words is "eight hundred forty-five million, four hundred nineteen thousand, one hundred twenty".