830839680 has 640 divisors, whose sum is σ = 3412316160. Its totient is φ = 190771200.

The previous prime is 830839663. The next prime is 830839687. The reversal of 830839680 is 86938038.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830839687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17677417 + ... + 17677463.

It is an arithmetic number, because the mean of its divisors is an integer number (5331744).

Almost surely, 2^830839680 is an apocalyptic number.

830839680 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 830839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706158080).

830839680 is an abundant number, since it is smaller than the sum of its proper divisors (2581476480).

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

830839680 is a wasteful number, since it uses less digits than its factorization.

830839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 830839680 is about 28824.2897570781. The cubic root of 830839680 is about 940.0964440052.

The spelling of 830839680 in words is "eight hundred thirty million, eight hundred thirty-nine thousand, six hundred eighty".