60756480 has 200 divisors, whose sum is σ = 218353212. Its totient is φ = 16146432.

The previous prime is 60756461. The next prime is 60756481. The reversal of 60756480 is 8465706.

It is a happy number.

60756480 is a `hidden beast` number, since 6 + 0 + 7 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 2509056 = 7632^2 + 1584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (60756481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207214 + ... + 207506.

Almost surely, 2^60756480 is an apocalyptic number.

60756480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109176606).

60756480 is an abundant number, since it is smaller than the sum of its proper divisors (157596732).

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

60756480 is an equidigital number, since it uses as much as digits as its factorization.

60756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 60756480 is about 7794.6443151692. The cubic root of 60756480 is about 393.1251859218.

The spelling of 60756480 in words is "sixty million, seven hundred fifty-six thousand, four hundred eighty".