719720640 has 140 divisors (see below), whose sum is σ = 2560265136. Its totient is φ = 191918592.

The previous prime is 719720629. The next prime is 719720641. The reversal of 719720640 is 46027917.

It is a happy number.

719720640 is a `hidden beast` number, since 7 + 1 + 9 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 719720595 and 719720604.

It is not an unprimeable number, because it can be changed into a prime (719720641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12037 + ... + 39803.

Almost surely, 2^719720640 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 719720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280132568).

719720640 is an abundant number, since it is smaller than the sum of its proper divisors (1840544496).

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

719720640 is a wasteful number, since it uses less digits than its factorization.

719720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27796 (or 27777 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 719720640 is about 26827.6096587079. The cubic root of 719720640 is about 896.1650153132.

The spelling of 719720640 in words is "seven hundred nineteen million, seven hundred twenty thousand, six hundred forty".