743864 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 330720.

The previous prime is 743851. The next prime is 743881. The reversal of 743864 is 468347.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 743864.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6899 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁷⁴³⁸⁶⁴ 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 743864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

743864 is an abundant number, since it is smaller than the sum of its proper divisors (811336).

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

743864 is a wasteful number, since it uses less digits than its factorization.

743864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 743864 is about 862.4755068986. The cubic root of 743864 is about 90.6075763570.

The spelling of 743864 in words is "seven hundred forty-three thousand, eight hundred sixty-four".