705275376 has 80 divisors (see below), whose sum is σ = 1989872640. Its totient is φ = 213937920.

The previous prime is 705275371. The next prime is 705275387. The reversal of 705275376 is 673572507.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705275371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36345 + ... + 52263.

It is an arithmetic number, because the mean of its divisors is an integer number (24873408).

Almost surely, 2^705275376 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 705275376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994936320).

705275376 is an abundant number, since it is smaller than the sum of its proper divisors (1284597264).

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

705275376 is a wasteful number, since it uses less digits than its factorization.

705275376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16014 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 42.

The square root of 705275376 is about 26557.0212185027. The cubic root of 705275376 is about 890.1289111760.

It can be divided in two parts, 7052 and 75376, that added together give a palindrome (82428).

The spelling of 705275376 in words is "seven hundred five million, two hundred seventy-five thousand, three hundred seventy-six".