76416256000 has 192 divisors, whose sum is σ = 217934720640. Its totient is φ = 26199244800.

The previous prime is 76416255997. The next prime is 76416256001. The reversal of 76416256000 is 65261467.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76416256001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770679 + ... + 1813321.

It is an arithmetic number, because the mean of its divisors is an integer number (1135076670).

Almost surely, 2^76416256000 is an apocalyptic number.

76416256000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76416256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108967360320).

76416256000 is an abundant number, since it is smaller than the sum of its proper divisors (141518464640).

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

76416256000 is an equidigital number, since it uses as much as digits as its factorization.

76416256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42687 (or 42657 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 76416256000 in words is "seventy-six billion, four hundred sixteen million, two hundred fifty-six thousand".