7830308772 has 288 divisors, whose sum is σ = 24565685760. Its totient is φ = 2137000320.

The previous prime is 7830308767. The next prime is 7830308777. The reversal of 7830308772 is 2778030387.

It is an interprime number because it is at equal distance from previous prime (7830308767) and next prime (7830308777).

It is a super-2 number, since 2×7830308772² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7830308777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8632743 + ... + 8633649.

It is an arithmetic number, because the mean of its divisors is an integer number (85297520).

Almost surely, 2^7830308772 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 7830308772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282842880).

7830308772 is an abundant number, since it is smaller than the sum of its proper divisors (16735376988).

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

7830308772 is a wasteful number, since it uses less digits than its factorization.

7830308772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7830308772 is about 88489.0319305167. The cubic root of 7830308772 is about 1985.7578861667.

The spelling of 7830308772 in words is "seven billion, eight hundred thirty million, three hundred eight thousand, seven hundred seventy-two".