7830805248 has 432 divisors, whose sum is σ = 27379788800. Its totient is φ = 2231276544.

The previous prime is 7830805223. The next prime is 7830805249. The reversal of 7830805248 is 8425080387.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7830805248² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830805249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21337161 + ... + 21337527.

Almost surely, 2^7830805248 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 7830805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13689894400).

7830805248 is an abundant number, since it is smaller than the sum of its proper divisors (19548983552).

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

7830805248 is an frugal number, since it uses more digits than its factorization.

7830805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7830805248 is about 88491.8371828724. The cubic root of 7830805248 is about 1985.7998538730.

The spelling of 7830805248 in words is "seven billion, eight hundred thirty million, eight hundred five thousand, two hundred forty-eight".