839934320 has 80 divisors (see below), whose sum is σ = 1988444160. Its totient is φ = 329901312.

The previous prime is 839934289. The next prime is 839934379. The reversal of 839934320 is 23439938.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2192849 + ... + 2193231.

It is an arithmetic number, because the mean of its divisors is an integer number (24855552).

Almost surely, 2^839934320 is an apocalyptic number.

839934320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 839934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994222080).

839934320 is an abundant number, since it is smaller than the sum of its proper divisors (1148509840).

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

839934320 is a wasteful number, since it uses less digits than its factorization.

839934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 839934320 is about 28981.6203825804. The cubic root of 839934320 is about 943.5142035064.

The spelling of 839934320 in words is "eight hundred thirty-nine million, nine hundred thirty-four thousand, three hundred twenty".