76266446400 has 336 divisors, whose sum is σ = 280228730880. Its totient is φ = 20176128000.

The previous prime is 76266446387. The next prime is 76266446423. The reversal of 76266446400 is 464466267.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479450 + ... + 5493350.

It is an arithmetic number, because the mean of its divisors is an integer number (834014080).

Almost surely, 2^76266446400 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 76266446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140114365440).

76266446400 is an abundant number, since it is smaller than the sum of its proper divisors (203962284480).

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

76266446400 is a wasteful number, since it uses less digits than its factorization.

76266446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 76266446400 in words is "seventy-six billion, two hundred sixty-six million, four hundred forty-six thousand, four hundred".