76523880960 has 240 divisors, whose sum is σ = 270666354816. Its totient is φ = 19971907584.

The previous prime is 76523880949. The next prime is 76523880973. The reversal of 76523880960 is 6908832567.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 76523880897 and 76523880906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1047547 + ... + 1118213.

Almost surely, 2^76523880960 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 76523880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135333177408).

76523880960 is an abundant number, since it is smaller than the sum of its proper divisors (194142473856).

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

76523880960 is a wasteful number, since it uses less digits than its factorization.

76523880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70743 (or 70724 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 76523880960 in words is "seventy-six billion, five hundred twenty-three million, eight hundred eighty thousand, nine hundred sixty".