719412768 has 144 divisors (see below), whose sum is σ = 2167978176. Its totient is φ = 225815040.

The previous prime is 719412767. The next prime is 719412781. The reversal of 719412768 is 867214917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×719412768² = 1035109461522843648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (719412763) 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, 442998 + ... + 444618.

It is an arithmetic number, because the mean of its divisors is an integer number (15055404).

Almost surely, 2^719412768 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 719412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083989088).

719412768 is an abundant number, since it is smaller than the sum of its proper divisors (1448565408).

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

719412768 is a wasteful number, since it uses less digits than its factorization.

719412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 719412768 is about 26821.8710756726. The cubic root of 719412768 is about 896.0372141219.

The spelling of 719412768 in words is "seven hundred nineteen million, four hundred twelve thousand, seven hundred sixty-eight".