720416480 has 192 divisors, whose sum is σ = 2081261952. Its totient is φ = 230031360.

The previous prime is 720416413. The next prime is 720416503. The reversal of 720416480 is 84614027.

720416480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989160 + ... + 2989400.

It is an arithmetic number, because the mean of its divisors is an integer number (10839906).

Almost surely, 2^720416480 is an apocalyptic number.

720416480 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 720416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040630976).

720416480 is an abundant number, since it is smaller than the sum of its proper divisors (1360845472).

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

720416480 is a wasteful number, since it uses less digits than its factorization.

720416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 720416480 is about 26840.5752546401. The cubic root of 720416480 is about 896.4537322459.

The spelling of 720416480 in words is "seven hundred twenty million, four hundred sixteen thousand, four hundred eighty".