723829904 has 80 divisors (see below), whose sum is σ = 1660608000. Its totient is φ = 299220480.

The previous prime is 723829901. The next prime is 723829907. The reversal of 723829904 is 409928327.

It is an interprime number because it is at equal distance from previous prime (723829901) and next prime (723829907).

It is a super-4 number, since 4×723829904⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (723829901) 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 15 ways as a sum of consecutive naturals, for example, 361097 + ... + 363095.

It is an arithmetic number, because the mean of its divisors is an integer number (20757600).

Almost surely, 2^723829904 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 723829904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304000).

723829904 is an abundant number, since it is smaller than the sum of its proper divisors (936778096).

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

723829904 is a wasteful number, since it uses less digits than its factorization.

723829904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 723829904 is about 26904.0871244501. The cubic root of 723829904 is about 897.8673388652.

The spelling of 723829904 in words is "seven hundred twenty-three million, eight hundred twenty-nine thousand, nine hundred four".