76260462480 has 480 divisors, whose sum is σ = 273287196000. Its totient is φ = 19023298560.

The previous prime is 76260462479. The next prime is 76260462527. The reversal of 76260462480 is 8426406267.

76260462480 is a `hidden beast` number, since 76 + 2 + 60 + 46 + 2 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 25197117696 + 51063344784 = 158736^2 + 225972^2 .

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196042126 + ... + 196042514.

It is an arithmetic number, because the mean of its divisors is an integer number (569348325).

Almost surely, 2^76260462480 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 76260462480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136643598000).

76260462480 is an abundant number, since it is smaller than the sum of its proper divisors (197026733520).

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

76260462480 is a wasteful number, since it uses less digits than its factorization.

76260462480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 76260462480 in words is "seventy-six billion, two hundred sixty million, four hundred sixty-two thousand, four hundred eighty".