7859904000 has 640 divisors, whose sum is σ = 29170132992. Its totient is φ = 1865318400.

The previous prime is 7859903993. The next prime is 7859904053. The reversal of 7859904000 is 4099587.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117311967 + ... + 117312033.

Almost surely, 2^7859904000 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 7859904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585066496).

7859904000 is an abundant number, since it is smaller than the sum of its proper divisors (21310228992).

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

7859904000 is a wasteful number, since it uses less digits than its factorization.

7859904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 7859904000 is about 88656.0996209511. The cubic root of 7859904000 is about 1988.2565135579.

The spelling of 7859904000 in words is "seven billion, eight hundred fifty-nine million, nine hundred four thousand".