719383680 has 160 divisors (see below), whose sum is σ = 2569234140. Its totient is φ = 191821824.

The previous prime is 719383669. The next prime is 719383697. The reversal of 719383680 is 86383917.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 645973056 + 73410624 = 25416^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44902 + ... + 58778.

Almost surely, 2^719383680 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 719383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284617070).

719383680 is an abundant number, since it is smaller than the sum of its proper divisors (1849850460).

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

719383680 is a wasteful number, since it uses less digits than its factorization.

719383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13887 counting only the distinct ones).

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

The square root of 719383680 is about 26821.3288261413. The cubic root of 719383680 is about 896.0251374750.

The spelling of 719383680 in words is "seven hundred nineteen million, three hundred eighty-three thousand, six hundred eighty".