705074020 has 96 divisors (see below), whose sum is σ = 1737469440. Its totient is φ = 235361280.

The previous prime is 705074011. The next prime is 705074033. The reversal of 705074020 is 20470507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884262 + ... + 885058.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^705074020 is an apocalyptic number.

705074020 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 705074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

705074020 is an abundant number, since it is smaller than the sum of its proper divisors (1032395420).

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

705074020 is a wasteful number, since it uses less digits than its factorization.

705074020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 705074020 is about 26553.2299353581. The cubic root of 705074020 is about 890.0441925622.

The spelling of 705074020 in words is "seven hundred five million, seventy-four thousand, twenty".