747325824 has 128 divisors (see below), whose sum is σ = 2347142400. Its totient is φ = 206137344.

The previous prime is 747325807. The next prime is 747325829. The reversal of 747325824 is 428523747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×747325824³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747325829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73159 + ... + 82745.

It is an arithmetic number, because the mean of its divisors is an integer number (18337050).

Almost surely, 2^747325824 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 747325824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173571200).

747325824 is an abundant number, since it is smaller than the sum of its proper divisors (1599816576).

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

747325824 is a wasteful number, since it uses less digits than its factorization.

747325824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640 (or 9628 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 747325824 is about 27337.2607259762. The cubic root of 747325824 is about 907.4791659417.

The spelling of 747325824 in words is "seven hundred forty-seven million, three hundred twenty-five thousand, eight hundred twenty-four".