820294776 has 160 divisors (see below), whose sum is σ = 2642233440. Its totient is φ = 232906752.

The previous prime is 820294753. The next prime is 820294819. The reversal of 820294776 is 677492028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 874980 + ... + 875916.

It is an arithmetic number, because the mean of its divisors is an integer number (16513959).

Almost surely, 2^820294776 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 820294776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321116720).

820294776 is an abundant number, since it is smaller than the sum of its proper divisors (1821938664).

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

820294776 is a wasteful number, since it uses less digits than its factorization.

820294776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 820294776 is about 28640.7886762917. The cubic root of 820294776 is about 936.1023063716.

The spelling of 820294776 in words is "eight hundred twenty million, two hundred ninety-four thousand, seven hundred seventy-six".