706682880 has 336 divisors, whose sum is σ = 2576193984. Its totient is φ = 185794560.

The previous prime is 706682857. The next prime is 706682881. The reversal of 706682880 is 88286607.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706682881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953245 + ... + 9953315.

It is an arithmetic number, because the mean of its divisors is an integer number (7667244).

Almost surely, 2^706682880 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 706682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288096992).

706682880 is an abundant number, since it is smaller than the sum of its proper divisors (1869511104).

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

706682880 is an frugal number, since it uses more digits than its factorization.

706682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 706682880 is about 26583.5076692298. The cubic root of 706682880 is about 890.7206552108.

The spelling of 706682880 in words is "seven hundred six million, six hundred eighty-two thousand, eight hundred eighty".