747180720 has 640 divisors, whose sum is σ = 3149798400. Its totient is φ = 160358400.

The previous prime is 747180703. The next prime is 747180743. The reversal of 747180720 is 27081747.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12664051 + ... + 12664109.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^747180720 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 747180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

747180720 is an abundant number, since it is smaller than the sum of its proper divisors (2402617680).

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

747180720 is a wasteful number, since it uses less digits than its factorization.

747180720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 747180720 is about 27334.6066370087. The cubic root of 747180720 is about 907.4204287858.

The spelling of 747180720 in words is "seven hundred forty-seven million, one hundred eighty thousand, seven hundred twenty".