820478736 has 405 divisors, whose sum is σ = 3033756999. Its totient is φ = 206236800.

The previous prime is 820478719. The next prime is 820478749. The reversal of 820478736 is 637874028.

It is a happy number.

The square root of 820478736 is 28644.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 820478691 and 820478700.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26467041 + ... + 26467071.

Almost surely, 2^820478736 is an apocalyptic number.

820478736 is the 28644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820478736

820478736 is an abundant number, since it is smaller than the sum of its proper divisors (2213278263).

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

820478736 is a wasteful number, since it uses less digits than its factorization.

820478736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 820478736 is about 936.1722781727.

Multiplying 820478736 by its product of nonzero digits (451584), we get a square (370515069517824 = 19248768²).

The spelling of 820478736 in words is "eight hundred twenty million, four hundred seventy-eight thousand, seven hundred thirty-six".