76423434480 has 240 divisors, whose sum is σ = 265466223360. Its totient is φ = 19682611200.

The previous prime is 76423434469. The next prime is 76423434481. The reversal of 76423434480 is 8443432467.

76423434480 is a `hidden beast` number, since 76 + 4 + 234 + 344 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (76423434481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12071956 + ... + 12078284.

It is an arithmetic number, because the mean of its divisors is an integer number (1106109264).

Almost surely, 2^76423434480 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 76423434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132733111680).

76423434480 is an abundant number, since it is smaller than the sum of its proper divisors (189042788880).

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

76423434480 is a wasteful number, since it uses less digits than its factorization.

76423434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 76423434480 in words is "seventy-six billion, four hundred twenty-three million, four hundred thirty-four thousand, four hundred eighty".