76416080000 has 160 divisors (see below), whose sum is σ = 204869155260. Its totient is φ = 28214784000.

The previous prime is 76416079991. The next prime is 76416080011. The reversal of 76416080000 is 8061467.

It can be written as a sum of positive squares in 10 ways, for example, as 896643136 + 75519436864 = 29944^2 + 274808^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 19 ways as a sum of consecutive naturals, for example, 1003262 + ... + 1076738.

Almost surely, 2^76416080000 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 76416080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102434577630).

76416080000 is an abundant number, since it is smaller than the sum of its proper divisors (128453075260).

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

76416080000 is an equidigital number, since it uses as much as digits as its factorization.

76416080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73524 (or 73497 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 76416080000 in words is "seventy-six billion, four hundred sixteen million, eighty thousand".