706313790 has 512 divisors, whose sum is σ = 2612736000. Its totient is φ = 131383296.

The previous prime is 706313767. The next prime is 706313819. The reversal of 706313790 is 97313607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7936066 + ... + 7936154.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^706313790 is an apocalyptic number.

706313790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706313790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

706313790 is an abundant number, since it is smaller than the sum of its proper divisors (1906422210).

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

706313790 is a wasteful number, since it uses less digits than its factorization.

706313790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 706313790 is about 26576.5646764212. The cubic root of 706313790 is about 890.5655581381.

The spelling of 706313790 in words is "seven hundred six million, three hundred thirteen thousand, seven hundred ninety".