705507220 has 48 divisors (see below), whose sum is σ = 1632306816. Its totient is φ = 254000000.

The previous prime is 705507211. The next prime is 705507223. The reversal of 705507220 is 22705507.

It is a hoax number, since the sum of its digits (28) 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 (705507223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345 + ... + 38095.

It is an arithmetic number, because the mean of its divisors is an integer number (34006392).

Almost surely, 2^705507220 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 705507220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816153408).

705507220 is an abundant number, since it is smaller than the sum of its proper divisors (926799596).

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

705507220 is a wasteful number, since it uses less digits than its factorization.

705507220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31872 (or 31870 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 705507220 is about 26561.3858825175. The cubic root of 705507220 is about 890.2264373552.

The spelling of 705507220 in words is "seven hundred five million, five hundred seven thousand, two hundred twenty".