7820439516 has 60 divisors (see below), whose sum is σ = 20550266352. Its totient is φ = 2593285632.

The previous prime is 7820439499. The next prime is 7820439563. The reversal of 7820439516 is 6159340287.

7820439516 is a `hidden beast` number, since 78 + 20 + 43 + 9 + 516 = 666.

7820439516 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

7820439516 is a nontrivial binomial coefficient, being equal to C(125064, 2).

It is a super-2 number, since 2×7820439516² (a number of 21 digits) contains 22 as substring.

7820439516 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 125063.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7820439516 = 15640879032, but 3⋅7820439516 = 23461318548 is not.

Almost surely, 2^7820439516 is an apocalyptic number.

7820439516 is the 125063-rd triangular number and also the 62532-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7820439516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275133176).

7820439516 is an abundant number, since it is smaller than the sum of its proper divisors (12729826836).

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

7820439516 is a wasteful number, since it uses less digits than its factorization.

7820439516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125272 (or 125261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7820439516 is about 88433.2489282170. The cubic root of 7820439516 is about 1984.9232578452.

The spelling of 7820439516 in words is "seven billion, eight hundred twenty million, four hundred thirty-nine thousand, five hundred sixteen".