7988904000 has 1008 divisors, whose sum is σ = 36173225088. Its totient is φ = 1647360000.

The previous prime is 7988903969. The next prime is 7988904029. The reversal of 7988904000 is 4098897.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 60983935 + ... + 60984065.

It is an arithmetic number, because the mean of its divisors is an integer number (35886136).

Almost surely, 2^7988904000 is an apocalyptic number.

7988904000 is a gapful number since it is divisible by the number (70) 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 7988904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086612544).

7988904000 is an abundant number, since it is smaller than the sum of its proper divisors (28184321088).

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

7988904000 is a wasteful number, since it uses less digits than its factorization.

7988904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7988904000 is about 89380.6690509754. The cubic root of 7988904000 is about 1999.0749054994.

The spelling of 7988904000 in words is "seven billion, nine hundred eighty-eight million, nine hundred four thousand".