846890880 has 128 divisors (see below), whose sum is σ = 2944944000. Its totient is φ = 205301760.

The previous prime is 846890873. The next prime is 846890881. The reversal of 846890880 is 88098648.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846890881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 41169.

It is an arithmetic number, because the mean of its divisors is an integer number (23007375).

Almost surely, 2^846890880 is an apocalyptic number.

846890880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472472000).

846890880 is an abundant number, since it is smaller than the sum of its proper divisors (2098053120).

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

846890880 is a wasteful number, since it uses less digits than its factorization.

846890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40132 (or 40120 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 846890880 is about 29101.3896575404. The cubic root of 846890880 is about 946.1118572355. Note that the first 3 decimals are identical.

The spelling of 846890880 in words is "eight hundred forty-six million, eight hundred ninety thousand, eight hundred eighty".