720906240 has 192 divisors, whose sum is σ = 2383879680. Its totient is φ = 185794560.

The previous prime is 720906169. The next prime is 720906259. The reversal of 720906240 is 42609027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 720906198 and 720906207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951942 + ... + 952698.

It is an arithmetic number, because the mean of its divisors is an integer number (12416040).

Almost surely, 2^720906240 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 720906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191939840).

720906240 is an abundant number, since it is smaller than the sum of its proper divisors (1662973440).

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

720906240 is a wasteful number, since it uses less digits than its factorization.

720906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 720906240 is about 26849.6972049966. The cubic root of 720906240 is about 896.6568313038.

The spelling of 720906240 in words is "seven hundred twenty million, nine hundred six thousand, two hundred forty".