830545920 has 224 divisors, whose sum is σ = 2956803840. Its totient is φ = 221184000.

The previous prime is 830545907. The next prime is 830545921. The reversal of 830545920 is 29545038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (830545921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105545 + ... + 1106295.

Almost surely, 2^830545920 is an apocalyptic number.

830545920 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 830545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478401920).

830545920 is an abundant number, since it is smaller than the sum of its proper divisors (2126257920).

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

830545920 is an equidigital number, since it uses as much as digits as its factorization.

830545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 830545920 is about 28819.1936042631. The cubic root of 830545920 is about 939.9856343059.

The spelling of 830545920 in words is "eight hundred thirty million, five hundred forty-five thousand, nine hundred twenty".