743820 has 144 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 147840.

The previous prime is 743819. The next prime is 743833. The reversal of 743820 is 28347.

743820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32329 + ... + 32351.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁷⁴³⁸²⁰ is an apocalyptic number.

743820 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 743820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

743820 is an abundant number, since it is smaller than the sum of its proper divisors (2014068).

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

743820 is a wasteful number, since it uses less digits than its factorization.

743820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 743820 is about 862.4499985506. The cubic root of 743820 is about 90.6057898244.

The spelling of 743820 in words is "seven hundred forty-three thousand, eight hundred twenty".