706376 has 32 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 306240.

The previous prime is 706373. The next prime is 706403. The reversal of 706376 is 673607.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (706373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1850 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁷⁰⁶³⁷⁶ 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 706376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

706376 is an abundant number, since it is smaller than the sum of its proper divisors (805624).

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

706376 is a wasteful number, since it uses less digits than its factorization.

706376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 706376 is about 840.4617778341. The cubic root of 706376 is about 89.0591703485.

It can be divided in two parts, 70 and 6376, that added together give a palindrome (6446).

The spelling of 706376 in words is "seven hundred six thousand, three hundred seventy-six".