743233680 has 480 divisors, whose sum is σ = 3030663168. Its totient is φ = 159667200.

The previous prime is 743233633. The next prime is 743233703. The reversal of 743233680 is 86332347.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10468045 + ... + 10468115.

Almost surely, 2^743233680 is an apocalyptic number.

743233680 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 743233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515331584).

743233680 is an abundant number, since it is smaller than the sum of its proper divisors (2287429488).

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

743233680 is a wasteful number, since it uses less digits than its factorization.

743233680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 743233680 is about 27262.3124477730. The cubic root of 743233680 is about 905.8197673733.

The spelling of 743233680 in words is "seven hundred forty-three million, two hundred thirty-three thousand, six hundred eighty".