743431680 has 240 divisors, whose sum is σ = 2640862224. Its totient is φ = 193167360.

The previous prime is 743431673. The next prime is 743431693. The reversal of 743431680 is 86134347.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 944247 + ... + 945033.

Almost surely, 2^743431680 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 743431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320431112).

743431680 is an abundant number, since it is smaller than the sum of its proper divisors (1897430544).

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

743431680 is a wasteful number, since it uses less digits than its factorization.

743431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 743431680 is about 27265.9435926945. The cubic root of 743431680 is about 905.9001980617.

The spelling of 743431680 in words is "seven hundred forty-three million, four hundred thirty-one thousand, six hundred eighty".