7883145504 has 144 divisors (see below), whose sum is σ = 25036607232. Its totient is φ = 2425552128.

The previous prime is 7883145461. The next prime is 7883145509. The reversal of 7883145504 is 4055413887.

7883145504 is a `hidden beast` number, since 7 + 8 + 83 + 14 + 550 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7883145504.

It is not an unprimeable number, because it can be changed into a prime (7883145509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62097 + ... + 140079.

It is an arithmetic number, because the mean of its divisors is an integer number (173865328).

Almost surely, 2^7883145504 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 7883145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518303616).

7883145504 is an abundant number, since it is smaller than the sum of its proper divisors (17153461728).

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

7883145504 is a wasteful number, since it uses less digits than its factorization.

7883145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78021 (or 78001 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 7883145504 is about 88787.0796005815. The cubic root of 7883145504 is about 1990.2143236922.

The spelling of 7883145504 in words is "seven billion, eight hundred eighty-three million, one hundred forty-five thousand, five hundred four".