706634880 has 512 divisors, whose sum is σ = 2790720000. Its totient is φ = 151732224.

The previous prime is 706634827. The next prime is 706634881. The reversal of 706634880 is 88436607.

It is a super-3 number, since 3×706634880³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (706634881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19098222 + ... + 19098258.

It is an arithmetic number, because the mean of its divisors is an integer number (5450625).

Almost surely, 2^706634880 is an apocalyptic number.

706634880 is a gapful number since it is divisible by the number (70) 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 706634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360000).

706634880 is an abundant number, since it is smaller than the sum of its proper divisors (2084085120).

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

706634880 is a wasteful number, since it uses less digits than its factorization.

706634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 706634880 is about 26582.6048385029. The cubic root of 706634880 is about 890.7004879568.

The spelling of 706634880 in words is "seven hundred six million, six hundred thirty-four thousand, eight hundred eighty".