76405248000 has 416 divisors, whose sum is σ = 282546251520. Its totient is φ = 20371046400.

The previous prime is 76405247921. The next prime is 76405248041. The reversal of 76405248000 is 84250467.

76405248000 is a `hidden beast` number, since 7 + 6 + 405 + 248 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13821237 + ... + 13826763.

It is an arithmetic number, because the mean of its divisors is an integer number (679197720).

Almost surely, 2^76405248000 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 76405248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141273125760).

76405248000 is an abundant number, since it is smaller than the sum of its proper divisors (206141003520).

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

76405248000 is an equidigital number, since it uses as much as digits as its factorization.

76405248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 76405248000 its reverse (84250467), we get a palindrome (76489498467).

The spelling of 76405248000 in words is "seventy-six billion, four hundred five million, two hundred forty-eight thousand".