76478131080 has 288 divisors, whose sum is σ = 270202537800. Its totient is φ = 18751389696.

The previous prime is 76478131069. The next prime is 76478131153. The reversal of 76478131080 is 8013187467.

76478131080 is a `hidden beast` number, since 76 + 478 + 1 + 3 + 108 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 133125444 + 76345005636 = 11538^2 + 276306^2 .

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16363624 + ... + 16368296.

Almost surely, 2^76478131080 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 76478131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135101268900).

76478131080 is an abundant number, since it is smaller than the sum of its proper divisors (193724406720).

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

76478131080 is a wasteful number, since it uses less digits than its factorization.

76478131080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 76478131080 in words is "seventy-six billion, four hundred seventy-eight million, one hundred thirty-one thousand, eighty".