743680000 has 240 divisors, whose sum is σ = 2149187040. Its totient is φ = 251904000.

The previous prime is 743679997. The next prime is 743680027. The reversal of 743680000 is 86347.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8959959 + ... + 8960041.

It is an arithmetic number, because the mean of its divisors is an integer number (8954946).

Almost surely, 2^743680000 is an apocalyptic number.

743680000 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 743680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074593520).

743680000 is an abundant number, since it is smaller than the sum of its proper divisors (1405507040).

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

743680000 is an frugal number, since it uses more digits than its factorization.

743680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 743680000 is about 27270.4968784949. The cubic root of 743680000 is about 906.0010493355.

The spelling of 743680000 in words is "seven hundred forty-three million, six hundred eighty thousand".