846828780 has 144 divisors (see below), whose sum is σ = 2783743200. Its totient is φ = 191772672.

The previous prime is 846828757. The next prime is 846828781. The reversal of 846828780 is 87828648.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (846828781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330946 + ... + 333494.

It is an arithmetic number, because the mean of its divisors is an integer number (19331550).

Almost surely, 2^846828780 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 846828780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391871600).

846828780 is an abundant number, since it is smaller than the sum of its proper divisors (1936914420).

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

846828780 is a wasteful number, since it uses less digits than its factorization.

846828780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 846828780 is about 29100.3226786233. The cubic root of 846828780 is about 946.0887314768.

The spelling of 846828780 in words is "eight hundred forty-six million, eight hundred twenty-eight thousand, seven hundred eighty".