719668320 has 192 divisors, whose sum is σ = 2727406080. Its totient is φ = 155824128.

The previous prime is 719668303. The next prime is 719668381. The reversal of 719668320 is 23866917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58204 + ... + 69476.

It is an arithmetic number, because the mean of its divisors is an integer number (14205240).

Almost surely, 2^719668320 is an apocalyptic number.

719668320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 719668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363703040).

719668320 is an abundant number, since it is smaller than the sum of its proper divisors (2007737760).

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

719668320 is a wasteful number, since it uses less digits than its factorization.

719668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11317 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 719668320 is about 26826.6345261570. The cubic root of 719668320 is about 896.1432992532.

The spelling of 719668320 in words is "seven hundred nineteen million, six hundred sixty-eight thousand, three hundred twenty".