76268088000 has 896 divisors, whose sum is σ = 305016042240. Its totient is φ = 18546278400.

The previous prime is 76268087999. The next prime is 76268088031. The reversal of 76268088000 is 88086267.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 440855914 + ... + 440856086.

It is an arithmetic number, because the mean of its divisors is an integer number (340419690).

Almost surely, 2^76268088000 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 76268088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152508021120).

76268088000 is an abundant number, since it is smaller than the sum of its proper divisors (228747954240).

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

76268088000 is a wasteful number, since it uses less digits than its factorization.

76268088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 76268088000 in words is "seventy-six billion, two hundred sixty-eight million, eighty-eight thousand".