846398880 has 144 divisors (see below), whose sum is σ = 2896213320. Its totient is φ = 225091584.

The previous prime is 846398869. The next prime is 846398893. The reversal of 846398880 is 88893648.

It can be written as a sum of positive squares in 4 ways, for example, as 747913104 + 98485776 = 27348^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818844 + ... + 819876.

Almost surely, 2^846398880 is an apocalyptic number.

846398880 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 846398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448106660).

846398880 is an abundant number, since it is smaller than the sum of its proper divisors (2049814440).

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

846398880 is a wasteful number, since it uses less digits than its factorization.

846398880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 846398880 is about 29092.9352248961. The cubic root of 846398880 is about 945.9286076516.

The spelling of 846398880 in words is "eight hundred forty-six million, three hundred ninety-eight thousand, eight hundred eighty".