743134840 has 128 divisors (see below), whose sum is σ = 2061158400. Its totient is φ = 235422720.

The previous prime is 743134837. The next prime is 743134849. The reversal of 743134840 is 48431347.

743134840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 743134796 and 743134805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743134849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216417 + ... + 219823.

It is an arithmetic number, because the mean of its divisors is an integer number (16102800).

Almost surely, 2^743134840 is an apocalyptic number.

743134840 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 743134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030579200).

743134840 is an abundant number, since it is smaller than the sum of its proper divisors (1318023560).

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

743134840 is a wasteful number, since it uses less digits than its factorization.

743134840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 743134840 is about 27260.4996285835. The cubic root of 743134840 is about 905.7796116783.

The spelling of 743134840 in words is "seven hundred forty-three million, one hundred thirty-four thousand, eight hundred forty".