747864480 has 192 divisors, whose sum is σ = 2590963200. Its totient is φ = 179819520.

The previous prime is 747864479. The next prime is 747864521. The reversal of 747864480 is 84468747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 733411 + ... + 734429.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^747864480 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 747864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

747864480 is an abundant number, since it is smaller than the sum of its proper divisors (1843098720).

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

747864480 is a wasteful number, since it uses less digits than its factorization.

747864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 747864480 is about 27347.1109991531. The cubic root of 747864480 is about 907.6971439131.

The spelling of 747864480 in words is "seven hundred forty-seven million, eight hundred sixty-four thousand, four hundred eighty".