705439980 has 288 divisors, whose sum is σ = 2613811200. Its totient is φ = 150418944.

The previous prime is 705439963. The next prime is 705439981. The reversal of 705439980 is 89934507.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (705439981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1891074 + ... + 1891446.

Almost surely, 2^705439980 is an apocalyptic number.

705439980 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 705439980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306905600).

705439980 is an abundant number, since it is smaller than the sum of its proper divisors (1908371220).

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

705439980 is a wasteful number, since it uses less digits than its factorization.

705439980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 705439980 is about 26560.1201051501. The cubic root of 705439980 is about 890.1981547590.

The spelling of 705439980 in words is "seven hundred five million, four hundred thirty-nine thousand, nine hundred eighty".