820030380 has 192 divisors, whose sum is σ = 2553707520. Its totient is φ = 195369984.

The previous prime is 820030373. The next prime is 820030391. The reversal of 820030380 is 83030028.

It is a self number, because there is not a number n which added to its sum of digits gives 820030380.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4739974 + ... + 4740146.

It is an arithmetic number, because the mean of its divisors is an integer number (13300560).

Almost surely, 2^820030380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820030380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276853760).

820030380 is an abundant number, since it is smaller than the sum of its proper divisors (1733677140).

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

820030380 is a wasteful number, since it uses less digits than its factorization.

820030380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 820030380 is about 28636.1725794492. The cubic root of 820030380 is about 936.0017212694.

The spelling of 820030380 in words is "eight hundred twenty million, thirty thousand, three hundred eighty".