705369840 has 160 divisors (see below), whose sum is σ = 2540361216. Its totient is φ = 158561280.

The previous prime is 705369829. The next prime is 705369857. The reversal of 705369840 is 48963507.

It is a happy number.

It is a super-2 number, since 2×705369840² = 995093222363251200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 705369792 and 705369801.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 99039 + ... + 105921.

Almost surely, 2^705369840 is an apocalyptic number.

705369840 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 705369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270180608).

705369840 is an abundant number, since it is smaller than the sum of its proper divisors (1834991376).

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

705369840 is a wasteful number, since it uses less digits than its factorization.

705369840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 705369840 is about 26558.7996716719. The cubic root of 705369840 is about 890.1686504450.

The spelling of 705369840 in words is "seven hundred five million, three hundred sixty-nine thousand, eight hundred forty".