7967854080 has 240 divisors, whose sum is σ = 27768312000. Its totient is φ = 2111422464.

The previous prime is 7967854061. The next prime is 7967854093. The reversal of 7967854080 is 804587697.

7967854080 is a `hidden beast` number, since 7 + 96 + 7 + 8 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3984921 + ... + 3986919.

It is an arithmetic number, because the mean of its divisors is an integer number (115701300).

Almost surely, 2^7967854080 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 7967854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884156000).

7967854080 is an abundant number, since it is smaller than the sum of its proper divisors (19800457920).

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

7967854080 is a wasteful number, since it uses less digits than its factorization.

7967854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7967854080 is about 89262.8370599994. The cubic root of 7967854080 is about 1997.3175772458.

The spelling of 7967854080 in words is "seven billion, nine hundred sixty-seven million, eight hundred fifty-four thousand, eighty".