820477404 has 96 divisors (see below), whose sum is σ = 2197708800. Its totient is φ = 264539520.

The previous prime is 820477393. The next prime is 820477417. The reversal of 820477404 is 404774028.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561627 + ... + 563085.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^820477404 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 820477404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098854400).

820477404 is an abundant number, since it is smaller than the sum of its proper divisors (1377231396).

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

820477404 is a wasteful number, since it uses less digits than its factorization.

820477404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 820477404 is about 28643.9767490480. The cubic root of 820477404 is about 936.1717715652.

The spelling of 820477404 in words is "eight hundred twenty million, four hundred seventy-seven thousand, four hundred four".