7982614080 has 672 divisors, whose sum is σ = 33139611648. Its totient is φ = 1725235200.

The previous prime is 7982614067. The next prime is 7982614093. The reversal of 7982614080 is 804162897.

It is an interprime number because it is at equal distance from previous prime (7982614067) and next prime (7982614093).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33122760 + ... + 33123000.

Almost surely, 2^7982614080 is an apocalyptic number.

7982614080 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 7982614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569805824).

7982614080 is an abundant number, since it is smaller than the sum of its proper divisors (25156997568).

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

7982614080 is a wasteful number, since it uses less digits than its factorization.

7982614080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7982614080 is about 89345.4759906734. The cubic root of 7982614080 is about 1998.5501225150.

The spelling of 7982614080 in words is "seven billion, nine hundred eighty-two million, six hundred fourteen thousand, eighty".