747340128 has 288 divisors, whose sum is σ = 2404473120. Its totient is φ = 225607680.

The previous prime is 747340117. The next prime is 747340141. The reversal of 747340128 is 821043747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×747340128³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 747340092 and 747340101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10237500 + ... + 10237572.

It is an arithmetic number, because the mean of its divisors is an integer number (8348865).

Almost surely, 2^747340128 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 747340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202236560).

747340128 is an abundant number, since it is smaller than the sum of its proper divisors (1657132992).

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

747340128 is a wasteful number, since it uses less digits than its factorization.

747340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 747340128 is about 27337.5223456699. The cubic root of 747340128 is about 907.4849556962.

The spelling of 747340128 in words is "seven hundred forty-seven million, three hundred forty thousand, one hundred twenty-eight".