743680 has 72 divisors (see below), whose sum is σ = 2060352. Its totient is φ = 251904.

The previous prime is 743671. The next prime is 743689. The reversal of 743680 is 86347.

It is an interprime number because it is at equal distance from previous prime (743671) and next prime (743689).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (743689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8919 + ... + 9001.

It is an arithmetic number, because the mean of its divisors is an integer number (28616).

2⁷⁴³⁶⁸⁰ is an apocalyptic number.

743680 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 743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030176).

743680 is an abundant number, since it is smaller than the sum of its proper divisors (1316672).

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

743680 is an equidigital number, since it uses as much as digits as its factorization.

743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 743680 is about 862.3688306056. The cubic root of 743680 is about 90.6001049335.

The spelling of 743680 in words is "seven hundred forty-three thousand, six hundred eighty".