719939040 has 96 divisors (see below), whose sum is σ = 2341011456. Its totient is φ = 185786880.

The previous prime is 719939021. The next prime is 719939047. The reversal of 719939040 is 40939917.

719939040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×719939040² = 1036624442632243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 719938983 and 719939001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (719939047) 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, 9312 + ... + 39071.

It is an arithmetic number, because the mean of its divisors is an integer number (24385536).

Almost surely, 2^719939040 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 719939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170505728).

719939040 is an abundant number, since it is smaller than the sum of its proper divisors (1621072416).

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

719939040 is a wasteful number, since it uses less digits than its factorization.

719939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48432 (or 48424 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 719939040 is about 26831.6797834202. The cubic root of 719939040 is about 896.2556535574.

It can be divided in two parts, 71 and 9939040, that added together give a triangular number (9939111 = T₄₄₅₈).

The spelling of 719939040 in words is "seven hundred nineteen million, nine hundred thirty-nine thousand, forty".