830749920 has 864 divisors, whose sum is σ = 3785201280. Its totient is φ = 150958080.

The previous prime is 830749883. The next prime is 830749967. The reversal of 830749920 is 29947038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43723671 + ... + 43723689.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^830749920 is an apocalyptic number.

830749920 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 830749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

830749920 is an abundant number, since it is smaller than the sum of its proper divisors (2954451360).

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

830749920 is a wasteful number, since it uses less digits than its factorization.

830749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 830749920 is about 28822.7326948712. The cubic root of 830749920 is about 940.0625882575.

The spelling of 830749920 in words is "eight hundred thirty million, seven hundred forty-nine thousand, nine hundred twenty".