76466448300 has 144 divisors (see below), whose sum is σ = 243845142912. Its totient is φ = 18346137600.

The previous prime is 76466448299. The next prime is 76466448337. The reversal of 76466448300 is 384466467.

It is a self number, because there is not a number n which added to its sum of digits gives 76466448300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200659 + ... + 439541.

It is an arithmetic number, because the mean of its divisors is an integer number (1693369048).

Almost surely, 2^76466448300 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 76466448300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121922571456).

76466448300 is an abundant number, since it is smaller than the sum of its proper divisors (167378694612).

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

76466448300 is a wasteful number, since it uses less digits than its factorization.

76466448300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239008 (or 239001 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 76466448300 in words is "seventy-six billion, four hundred sixty-six million, four hundred forty-eight thousand, three hundred".