830113920 has 320 divisors, whose sum is σ = 3021321600. Its totient is φ = 217147392.

The previous prime is 830113919. The next prime is 830113957. The reversal of 830113920 is 29311038.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473161 + ... + 3473399.

It is an arithmetic number, because the mean of its divisors is an integer number (9441630).

Almost surely, 2^830113920 is an apocalyptic number.

830113920 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 830113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510660800).

830113920 is an abundant number, since it is smaller than the sum of its proper divisors (2191207680).

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

830113920 is a wasteful number, since it uses less digits than its factorization.

830113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 830113920 is about 28811.6976244025. The cubic root of 830113920 is about 939.8226313903.

Adding to 830113920 its reverse (29311038), we get a palindrome (859424958).

The spelling of 830113920 in words is "eight hundred thirty million, one hundred thirteen thousand, nine hundred twenty".