705376 has 48 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 291456.

The previous prime is 705317. The next prime is 705389. The reversal of 705376 is 673507.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

705376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10495 + ... + 10561.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁷⁰⁵³⁷⁶ 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 705376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

705376 is an abundant number, since it is smaller than the sum of its proper divisors (939680).

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

705376 is a wasteful number, since it uses less digits than its factorization.

705376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 705376 is about 839.8666560830. The cubic root of 705376 is about 89.0171241721.

It can be divided in two parts, 705 and 376, that added together give a triangular number (1081 = T₄₆).

The spelling of 705376 in words is "seven hundred five thousand, three hundred seventy-six".