7830087392 has 72 divisors (see below), whose sum is σ = 16621345944. Its totient is φ = 3629463552.

The previous prime is 7830087373. The next prime is 7830087401. The reversal of 7830087392 is 2937800387.

It is a happy number.

It is a super-2 number, since 2×7830087392² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613298 + ... + 625934.

It is an arithmetic number, because the mean of its divisors is an integer number (230852027).

Almost surely, 2^7830087392 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 7830087392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310672972).

7830087392 is an abundant number, since it is smaller than the sum of its proper divisors (8791258552).

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

7830087392 is a wasteful number, since it uses less digits than its factorization.

7830087392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 7830087392 is about 88487.7810321855. The cubic root of 7830087392 is about 1985.7391720803.

The spelling of 7830087392 in words is "seven billion, eight hundred thirty million, eighty-seven thousand, three hundred ninety-two".