723985920 has 360 divisors, whose sum is σ = 2908970064. Its totient is φ = 163012608.

The previous prime is 723985903. The next prime is 723985921. The reversal of 723985920 is 29589327.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×723985920² = 1048311224716492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (723985921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10805727 + ... + 10805793.

Almost surely, 2^723985920 is an apocalyptic number.

723985920 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 723985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454485032).

723985920 is an abundant number, since it is smaller than the sum of its proper divisors (2184984144).

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

723985920 is an equidigital number, since it uses as much as digits as its factorization.

723985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 723985920 is about 26906.9864533359. The cubic root of 723985920 is about 897.9318437102.

The spelling of 723985920 in words is "seven hundred twenty-three million, nine hundred eighty-five thousand, nine hundred twenty".