705211920 has 300 divisors, whose sum is σ = 2850474924. Its totient is φ = 161118720.

The previous prime is 705211891. The next prime is 705211933. The reversal of 705211920 is 29112507.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 338412816 = 19152^2 + 18396^2 .

It is a super-2 number, since 2×705211920² = 994647704220172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316410 + ... + 318630.

Almost surely, 2^705211920 is an apocalyptic number.

705211920 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 705211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425237462).

705211920 is an abundant number, since it is smaller than the sum of its proper divisors (2145263004).

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

705211920 is a wasteful number, since it uses less digits than its factorization.

705211920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 705211920 is about 26555.8264793246. The cubic root of 705211920 is about 890.1022144104.

The spelling of 705211920 in words is "seven hundred five million, two hundred eleven thousand, nine hundred twenty".