719680 has 56 divisors (see below), whose sum is σ = 1856232. Its totient is φ = 264192.

The previous prime is 719671. The next prime is 719681. The reversal of 719680 is 86917.

719680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 627264 = 304^2 + 792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (719681) by changing a digit.

719680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074 + ... + 4246.

It is an arithmetic number, because the mean of its divisors is an integer number (33147).

2⁷¹⁹⁶⁸⁰ 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 719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928116).

719680 is an abundant number, since it is smaller than the sum of its proper divisors (1136552).

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

719680 is a wasteful number, since it uses less digits than its factorization.

719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 719680 is about 848.3395546596. The cubic root of 719680 is about 89.6148147272.

The spelling of 719680 in words is "seven hundred nineteen thousand, six hundred eighty".