76668480 has 168 divisors, whose sum is σ = 301459392. Its totient is φ = 17519616.

The previous prime is 76668479. The next prime is 76668491. The reversal of 76668480 is 8486667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 18259 + ... + 22061.

Almost surely, 2^76668480 is an apocalyptic number.

76668480 is a gapful number since it is divisible by the number (70) 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 76668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150729696).

76668480 is an abundant number, since it is smaller than the sum of its proper divisors (224790912).

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

76668480 is a wasteful number, since it uses less digits than its factorization.

76668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 76668480 is about 8756.0539057272. The cubic root of 76668480 is about 424.8206486606.

The spelling of 76668480 in words is "seventy-six million, six hundred sixty-eight thousand, four hundred eighty".