7998756480 has 960 divisors, whose sum is σ = 34149820320. Its totient is φ = 1768366080.

The previous prime is 7998756463. The next prime is 7998756497. The reversal of 7998756480 is 846578997.

7998756480 is a `hidden beast` number, since 79 + 9 + 87 + 5 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (7998756463) and next prime (7998756497).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96370519 + ... + 96370601.

Almost surely, 2^7998756480 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 7998756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074910160).

7998756480 is an abundant number, since it is smaller than the sum of its proper divisors (26151063840).

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

7998756480 is a wasteful number, since it uses less digits than its factorization.

7998756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The square root of 7998756480 is about 89435.7673417073. The cubic root of 7998756480 is about 1999.8963679636.

The spelling of 7998756480 in words is "seven billion, nine hundred ninety-eight million, seven hundred fifty-six thousand, four hundred eighty".