76461158400 has 780 divisors, whose sum is σ = 294436634760. Its totient is φ = 17445683200.

The previous prime is 76461158357. The next prime is 76461158429. The reversal of 76461158400 is 485116467.

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 59 ways as a sum of consecutive naturals, for example, 4497715192 + ... + 4497715208.

Almost surely, 2^76461158400 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 76461158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218317380).

76461158400 is an abundant number, since it is smaller than the sum of its proper divisors (217975476360).

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

76461158400 is an equidigital number, since it uses as much as digits as its factorization.

76461158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 76461158400 in words is "seventy-six billion, four hundred sixty-one million, one hundred fifty-eight thousand, four hundred".