720229440 has 336 divisors, whose sum is σ = 2714451264. Its totient is φ = 161280000.

The previous prime is 720229423. The next prime is 720229469. The reversal of 720229440 is 44922027.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 720229398 and 720229407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2869315 + ... + 2869565.

It is an arithmetic number, because the mean of its divisors is an integer number (8078724).

Almost surely, 2^720229440 is an apocalyptic number.

720229440 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 720229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357225632).

720229440 is an abundant number, since it is smaller than the sum of its proper divisors (1994221824).

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

720229440 is a wasteful number, since it uses less digits than its factorization.

720229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 720229440 is about 26837.0907514209. The cubic root of 720229440 is about 896.3761441545.

The spelling of 720229440 in words is "seven hundred twenty million, two hundred twenty-nine thousand, four hundred forty".