820755056 has 80 divisors (see below), whose sum is σ = 1795385088. Its totient is φ = 360230400.

The previous prime is 820755043. The next prime is 820755073. The reversal of 820755056 is 650557028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771581 + ... + 772643.

Almost surely, 2^820755056 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 820755056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

820755056 is an abundant number, since it is smaller than the sum of its proper divisors (974630032).

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

820755056 is a wasteful number, since it uses less digits than its factorization.

820755056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 820755056 is about 28648.8229426621. The cubic root of 820755056 is about 936.2773607619.

The spelling of 820755056 in words is "eight hundred twenty million, seven hundred fifty-five thousand, fifty-six".