7830380736 has 168 divisors, whose sum is σ = 23100871248. Its totient is φ = 2534400000.

The previous prime is 7830380713. The next prime is 7830380773. The reversal of 7830380736 is 6370830387.

It is a super-2 number, since 2×7830380736² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7830380691 and 7830380700.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5926956 + ... + 5928276.

It is an arithmetic number, because the mean of its divisors is an integer number (137505186).

Almost surely, 2^7830380736 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 7830380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550435624).

7830380736 is an abundant number, since it is smaller than the sum of its proper divisors (15270490512).

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

7830380736 is a wasteful number, since it uses less digits than its factorization.

7830380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7830380736 is about 88489.4385562481. The cubic root of 7830380736 is about 1985.7639694791.

The spelling of 7830380736 in words is "seven billion, eight hundred thirty million, three hundred eighty thousand, seven hundred thirty-six".