719940000 has 360 divisors, whose sum is σ = 2593194912. Its totient is φ = 174720000.

The previous prime is 719939981. The next prime is 719940017. The reversal of 719940000 is 49917.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 719940000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10139965 + ... + 10140035.

Almost surely, 2^719940000 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 719940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296597456).

719940000 is an abundant number, since it is smaller than the sum of its proper divisors (1873254912).

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

719940000 is a wasteful number, since it uses less digits than its factorization.

719940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 719940000 is about 26831.6976727154. The cubic root of 719940000 is about 896.2560519268.

Adding to 719940000 its reverse (49917), we get a palindrome (719989917).

The spelling of 719940000 in words is "seven hundred nineteen million, nine hundred forty thousand".