7830838080 has 672 divisors, whose sum is σ = 31057413120. Its totient is φ = 1854627840.

The previous prime is 7830838079. The next prime is 7830838123. The reversal of 7830838080 is 808380387.

It is a super-2 number, since 2×7830838080² (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 a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 45264874 + ... + 45265046.

Almost surely, 2^7830838080 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 7830838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528706560).

7830838080 is an abundant number, since it is smaller than the sum of its proper divisors (23226575040).

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

7830838080 is a wasteful number, since it uses less digits than its factorization.

7830838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7830838080 is about 88492.0226913138. The cubic root of 7830838080 is about 1985.8026291385.

The spelling of 7830838080 in words is "seven billion, eight hundred thirty million, eight hundred thirty-eight thousand, eighty".