719820480 has 112 divisors (see below), whose sum is σ = 2294924544. Its totient is φ = 191155200.

The previous prime is 719820457. The next prime is 719820481. The reversal of 719820480 is 84028917.

719820480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (719820481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251055 + ... + 253905.

Almost surely, 2^719820480 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 719820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147462272).

719820480 is an abundant number, since it is smaller than the sum of its proper divisors (1575104064).

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

719820480 is a wasteful number, since it uses less digits than its factorization.

719820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 719820480 is about 26829.4703637623. The cubic root of 719820480 is about 896.2064522140.

The spelling of 719820480 in words is "seven hundred nineteen million, eight hundred twenty thousand, four hundred eighty".