723784320 has 384 divisors, whose sum is σ = 2959632000. Its totient is φ = 159473664.

The previous prime is 723784297. The next prime is 723784351. The reversal of 723784320 is 23487327.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1168971 + ... + 1169589.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^723784320 is an apocalyptic number.

723784320 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 723784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

723784320 is an abundant number, since it is smaller than the sum of its proper divisors (2235847680).

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

723784320 is a wasteful number, since it uses less digits than its factorization.

723784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 723784320 is about 26903.2399535818. The cubic root of 723784320 is about 897.8484904019.

The spelling of 723784320 in words is "seven hundred twenty-three million, seven hundred eighty-four thousand, three hundred twenty".