76489780224 has 352 divisors, whose sum is σ = 241662597120. Its totient is φ = 21380874240.

The previous prime is 76489780219. The next prime is 76489780259. The reversal of 76489780224 is 42208798467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53154097 + ... + 53155535.

Almost surely, 2^76489780224 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 76489780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120831298560).

76489780224 is an abundant number, since it is smaller than the sum of its proper divisors (165172816896).

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

76489780224 is a wasteful number, since it uses less digits than its factorization.

76489780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 76489780224 in words is "seventy-six billion, four hundred eighty-nine million, seven hundred eighty thousand, two hundred twenty-four".