830072616 has 64 divisors (see below), whose sum is σ = 2162350080. Its totient is φ = 265237440.

The previous prime is 830072609. The next prime is 830072623. The reversal of 830072616 is 616270038.

It is an interprime number because it is at equal distance from previous prime (830072609) and next prime (830072623).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74395 + ... + 84821.

It is an arithmetic number, because the mean of its divisors is an integer number (33786720).

Almost surely, 2^830072616 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 830072616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081175040).

830072616 is an abundant number, since it is smaller than the sum of its proper divisors (1332277464).

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

830072616 is a wasteful number, since it uses less digits than its factorization.

830072616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 830072616 is about 28810.9808232903. The cubic root of 830072616 is about 939.8070435387.

The spelling of 830072616 in words is "eight hundred thirty million, seventy-two thousand, six hundred sixteen".