820058904 has 144 divisors (see below), whose sum is σ = 2679604200. Its totient is φ = 234275328.

The previous prime is 820058893. The next prime is 820058909. The reversal of 820058904 is 409850028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820058909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90952 + ... + 99560.

Almost surely, 2^820058904 is an apocalyptic number.

820058904 is a gapful number since it is divisible by the number (84) 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 820058904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339802100).

820058904 is an abundant number, since it is smaller than the sum of its proper divisors (1859545296).

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

820058904 is a wasteful number, since it uses less digits than its factorization.

820058904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 820058904 is about 28636.6706165364. The cubic root of 820058904 is about 936.0125737956.

It can be divided in two parts, 82005 and 8904, that added together give a palindrome (90909).

The spelling of 820058904 in words is "eight hundred twenty million, fifty-eight thousand, nine hundred four".