820353930 has 64 divisors (see below), whose sum is σ = 2217148416. Its totient is φ = 192456000.

The previous prime is 820353923. The next prime is 820353959. The reversal of 820353930 is 39353028.

820353930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 820353891 and 820353900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29866 + ... + 50325.

It is an arithmetic number, because the mean of its divisors is an integer number (34642944).

Almost surely, 2^820353930 is an apocalyptic number.

820353930 is an abundant number, since it is smaller than the sum of its proper divisors (1396794486).

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

820353930 is a wasteful number, since it uses less digits than its factorization.

820353930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80243.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 820353930 is about 28641.8213457175. The cubic root of 820353930 is about 936.1248075774.

The spelling of 820353930 in words is "eight hundred twenty million, three hundred fifty-three thousand, nine hundred thirty".