7804982016 has 144 divisors (see below), whose sum is σ = 24856429920. Its totient is φ = 2401505280.

The previous prime is 7804982011. The next prime is 7804982021. The reversal of 7804982016 is 6102894087.

It is an interprime number because it is at equal distance from previous prime (7804982011) and next prime (7804982021).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×7804982016³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7804982011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46426 + ... + 133286.

Almost surely, 2^7804982016 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 7804982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428214960).

7804982016 is an abundant number, since it is smaller than the sum of its proper divisors (17051447904).

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

7804982016 is a wasteful number, since it uses less digits than its factorization.

7804982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86899 (or 86879 counting only the distinct ones).

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

The square root of 7804982016 is about 88345.8092724267. The cubic root of 7804982016 is about 1983.6146277169.

The spelling of 7804982016 in words is "seven billion, eight hundred four million, nine hundred eighty-two thousand, sixteen".