705370680 has 288 divisors, whose sum is σ = 2767368240. Its totient is φ = 161118720.

The previous prime is 705370669. The next prime is 705370709. The reversal of 705370680 is 86073507.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 475540 + ... + 477020.

Almost surely, 2^705370680 is an apocalyptic number.

705370680 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 705370680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383684120).

705370680 is an abundant number, since it is smaller than the sum of its proper divisors (2061997560).

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

705370680 is a wasteful number, since it uses less digits than its factorization.

705370680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 705370680 is about 26558.8154856349. The cubic root of 705370680 is about 890.1690038017.

The spelling of 705370680 in words is "seven hundred five million, three hundred seventy thousand, six hundred eighty".