709240896 has 252 divisors, whose sum is σ = 2548041132. Its totient is φ = 186955776.

The previous prime is 709240891. The next prime is 709240913. The reversal of 709240896 is 698042907.

It is a happy number.

709240896 is a `hidden beast` number, since 70 + 92 + 408 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 282240000 + 427000896 = 16800^2 + 20664^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (709240891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365946 + ... + 367878.

Almost surely, 2^709240896 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 709240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274020566).

709240896 is an abundant number, since it is smaller than the sum of its proper divisors (1838800236).

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

709240896 is a wasteful number, since it uses less digits than its factorization.

709240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 709240896 is about 26631.5770468067. The cubic root of 709240896 is about 891.7940900301.

The spelling of 709240896 in words is "seven hundred nine million, two hundred forty thousand, eight hundred ninety-six".