7986000960 has 336 divisors, whose sum is σ = 33046416000. Its totient is φ = 1729216512.

The previous prime is 7986000943. The next prime is 7986000983. The reversal of 7986000960 is 690006897.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7986000960² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 372616 + ... + 393464.

Almost surely, 2^7986000960 is an apocalyptic number.

7986000960 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 7986000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523208000).

7986000960 is an abundant number, since it is smaller than the sum of its proper divisors (25060415040).

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

7986000960 is a wasteful number, since it uses less digits than its factorization.

7986000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20885 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7986000960 is about 89364.4278222605. The cubic root of 7986000960 is about 1998.8327322088.

The spelling of 7986000960 in words is "seven billion, nine hundred eighty-six million, nine hundred sixty", and thus it is an aban number.