76414400000 has 240 divisors, whose sum is σ = 192663325008. Its totient is φ = 30274560000.

The previous prime is 76414399981. The next prime is 76414400071. The reversal of 76414400000 is 441467.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260799854 + ... + 260800146.

Almost surely, 2^76414400000 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 76414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96331662504).

76414400000 is an abundant number, since it is smaller than the sum of its proper divisors (116248925008).

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

76414400000 is an frugal number, since it uses more digits than its factorization.

76414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 76414400000 its reverse (441467), we get a palindrome (76414841467).

The spelling of 76414400000 in words is "seventy-six billion, four hundred fourteen million, four hundred thousand".