743881768 has 128 divisors (see below), whose sum is σ = 1748736000. Its totient is φ = 289578240.

The previous prime is 743881741. The next prime is 743881769. The reversal of 743881768 is 867188347.

It is not an unprimeable number, because it can be changed into a prime (743881769) 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, 3248278 + ... + 3248506.

It is an arithmetic number, because the mean of its divisors is an integer number (13662000).

Almost surely, 2^743881768 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 743881768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874368000).

743881768 is an abundant number, since it is smaller than the sum of its proper divisors (1004854232).

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

743881768 is a wasteful number, since it uses less digits than its factorization.

743881768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 52.

The square root of 743881768 is about 27274.1960101485. The cubic root of 743881768 is about 906.0829777143.

The spelling of 743881768 in words is "seven hundred forty-three million, eight hundred eighty-one thousand, seven hundred sixty-eight".