76755444480 has 1440 divisors, whose sum is σ = 335062683648. Its totient is φ = 16522444800.

The previous prime is 76755444407. The next prime is 76755444481. The reversal of 76755444480 is 8444455767.

76755444480 is a `hidden beast` number, since 7 + 6 + 7 + 554 + 4 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76755444481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 459613357 + ... + 459613523.

Almost surely, 2^76755444480 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 76755444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167531341824).

76755444480 is an abundant number, since it is smaller than the sum of its proper divisors (258307239168).

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

76755444480 is a wasteful number, since it uses less digits than its factorization.

76755444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 76755444480 in words is "seventy-six billion, seven hundred fifty-five million, four hundred forty-four thousand, four hundred eighty".