719696400 has 120 divisors (see below), whose sum is σ = 2313319200. Its totient is φ = 191262720.

The previous prime is 719696387. The next prime is 719696401. The reversal of 719696400 is 4696917.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (719696401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422751 + ... + 424449.

It is an arithmetic number, because the mean of its divisors is an integer number (19277660).

Almost surely, 2^719696400 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 719696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156659600).

719696400 is an abundant number, since it is smaller than the sum of its proper divisors (1593622800).

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

719696400 is a wasteful number, since it uses less digits than its factorization.

719696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 719696400 is about 26827.1578815200. The cubic root of 719696400 is about 896.1549543337.

The spelling of 719696400 in words is "seven hundred nineteen million, six hundred ninety-six thousand, four hundred".