723765480 has 256 divisors, whose sum is σ = 2463436800. Its totient is φ = 169021440.

The previous prime is 723765467. The next prime is 723765487. The reversal of 723765480 is 84567327.

It is not an unprimeable number, because it can be changed into a prime (723765487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2751829 + ... + 2752091.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2^723765480 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 723765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231718400).

723765480 is an abundant number, since it is smaller than the sum of its proper divisors (1739671320).

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

723765480 is a wasteful number, since it uses less digits than its factorization.

723765480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 723765480 is about 26902.8898076025. The cubic root of 723765480 is about 897.8407000461.

The spelling of 723765480 in words is "seven hundred twenty-three million, seven hundred sixty-five thousand, four hundred eighty".