747486720 has 120 divisors (see below), whose sum is σ = 2588836536. Its totient is φ = 199323648.

The previous prime is 747486697. The next prime is 747486721. The reversal of 747486720 is 27684747.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747486721) 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 11 ways as a sum of consecutive naturals, for example, 6819 + ... + 39261.

Almost surely, 2^747486720 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 747486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294418268).

747486720 is an abundant number, since it is smaller than the sum of its proper divisors (1841349816).

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

747486720 is a wasteful number, since it uses less digits than its factorization.

747486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32472 (or 32453 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 747486720 is about 27340.2033642766. The cubic root of 747486720 is about 907.5442867079.

The spelling of 747486720 in words is "seven hundred forty-seven million, four hundred eighty-six thousand, seven hundred twenty".