847825680 has 120 divisors (see below), whose sum is σ = 2846121408. Its totient is φ = 208685568.

The previous prime is 847825669. The next prime is 847825777. The reversal of 847825680 is 86528748.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30109 + ... + 51011.

Almost surely, 2^847825680 is an apocalyptic number.

847825680 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 847825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423060704).

847825680 is an abundant number, since it is smaller than the sum of its proper divisors (1998295728).

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

847825680 is a wasteful number, since it uses less digits than its factorization.

847825680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20945 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 847825680 is about 29117.4463165986. The cubic root of 847825680 is about 946.4598360107.

The spelling of 847825680 in words is "eight hundred forty-seven million, eight hundred twenty-five thousand, six hundred eighty".