7830302720 has 104 divisors (see below), whose sum is σ = 18855157776. Its totient is φ = 3121348608.

The previous prime is 7830302717. The next prime is 7830302737. The reversal of 7830302720 is 272030387.

It is a happy number.

It is a super-2 number, since 2×7830302720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 8867399 + ... + 8868281.

It is an arithmetic number, because the mean of its divisors is an integer number (181299594).

Almost surely, 2^7830302720 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 7830302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427578888).

7830302720 is an abundant number, since it is smaller than the sum of its proper divisors (11024855056).

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

7830302720 is an equidigital number, since it uses as much as digits as its factorization.

7830302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 7830302720 is about 88488.9977341816. The cubic root of 7830302720 is about 1985.7573745730.

The spelling of 7830302720 in words is "seven billion, eight hundred thirty million, three hundred two thousand, seven hundred twenty".