7830966000 has 320 divisors, whose sum is σ = 29664101376. Its totient is φ = 1752192000.

The previous prime is 7830965953. The next prime is 7830966007. The reversal of 7830966000 is 6690387.

It is a super-2 number, since 2×7830966000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7830966000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830966007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853437 + ... + 862563.

Almost surely, 2^7830966000 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 7830966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832050688).

7830966000 is an abundant number, since it is smaller than the sum of its proper divisors (21833135376).

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

7830966000 is a wasteful number, since it uses less digits than its factorization.

7830966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9177 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7830966000 is about 88492.7454653770. The cubic root of 7830966000 is about 1985.8134420505.

The spelling of 7830966000 in words is "seven billion, eight hundred thirty million, nine hundred sixty-six thousand".