747096480 has 384 divisors, whose sum is σ = 2880541440. Its totient is φ = 179712000.

The previous prime is 747096437. The next prime is 747096481. The reversal of 747096480 is 84690747.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (747096481) 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 63 ways as a sum of consecutive naturals, for example, 2976355 + ... + 2976605.

It is an arithmetic number, because the mean of its divisors is an integer number (7501410).

Almost surely, 2^747096480 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 747096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440270720).

747096480 is an abundant number, since it is smaller than the sum of its proper divisors (2133444960).

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

747096480 is a wasteful number, since it uses less digits than its factorization.

747096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 747096480 is about 27333.0656897465. The cubic root of 747096480 is about 907.3863254925.

The spelling of 747096480 in words is "seven hundred forty-seven million, ninety-six thousand, four hundred eighty".