820192320 has 336 divisors, whose sum is σ = 2981309760. Its totient is φ = 206696448.

The previous prime is 820192309. The next prime is 820192333. The reversal of 820192320 is 23291028.

It is a happy number.

It is a Cunningham number, because it is equal to 28639²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4581991 + ... + 4582169.

Almost surely, 2^820192320 is an apocalyptic number.

820192320 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 820192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490654880).

820192320 is an abundant number, since it is smaller than the sum of its proper divisors (2161117440).

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

820192320 is a wasteful number, since it uses less digits than its factorization.

820192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 820192320 is about 28638.9999825413. Note that the first 4 decimals coincide. The cubic root of 820192320 is about 936.0633312397.

The spelling of 820192320 in words is "eight hundred twenty million, one hundred ninety-two thousand, three hundred twenty".