719742240 has 192 divisors, whose sum is σ = 2879089920. Its totient is φ = 164505600.

The previous prime is 719742217. The next prime is 719742251. The reversal of 719742240 is 42247917.

719742240 is a `hidden beast` number, since 7 + 197 + 422 + 40 = 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 = 719742195 and 719742204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18340 + ... + 42140.

It is an arithmetic number, because the mean of its divisors is an integer number (14995260).

Almost surely, 2^719742240 is an apocalyptic number.

719742240 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 719742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439544960).

719742240 is an abundant number, since it is smaller than the sum of its proper divisors (2159347680).

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

719742240 is a wasteful number, since it uses less digits than its factorization.

719742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23832 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 719742240 is about 26828.0122260297. The cubic root of 719742240 is about 896.1739803522.

The spelling of 719742240 in words is "seven hundred nineteen million, seven hundred forty-two thousand, two hundred forty".