7845120 has 144 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 2082816.

The previous prime is 7845107. The next prime is 7845121. The reversal of 7845120 is 215487.

7845120 = T₃₉₉ + T₄₀₀ + ... + T₄₇₉.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845121) 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 15 ways as a sum of consecutive naturals, for example, 34447 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 2^7845120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

7845120 is an abundant number, since it is smaller than the sum of its proper divisors (20116800).

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

7845120 is a wasteful number, since it uses less digits than its factorization.

7845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7845120 is about 2800.9141364919. The cubic root of 7845120 is about 198.7009134741.

The spelling of 7845120 in words is "seven million, eight hundred forty-five thousand, one hundred twenty".