747040320 has 336 divisors, whose sum is σ = 2873532480. Its totient is φ = 183638016.

The previous prime is 747040303. The next prime is 747040321. The reversal of 747040320 is 23040747.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010511 + ... + 1011249.

It is an arithmetic number, because the mean of its divisors is an integer number (8552180).

Almost surely, 2^747040320 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 747040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436766240).

747040320 is an abundant number, since it is smaller than the sum of its proper divisors (2126492160).

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

747040320 is a wasteful number, since it uses less digits than its factorization.

747040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 747040320 is about 27332.0383433069. The cubic root of 747040320 is about 907.3635885393.

The spelling of 747040320 in words is "seven hundred forty-seven million, forty thousand, three hundred twenty".