76582963200 has 288 divisors, whose sum is σ = 253959058080. Its totient is φ = 20358758400.

The previous prime is 76582963199. The next prime is 76582963211. The reversal of 76582963200 is 236928567.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76582963200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70194655 + ... + 70195745.

It is an arithmetic number, because the mean of its divisors is an integer number (881802285).

Almost surely, 2^76582963200 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 76582963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126979529040).

76582963200 is an abundant number, since it is smaller than the sum of its proper divisors (177376094880).

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

76582963200 is a wasteful number, since it uses less digits than its factorization.

76582963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 76582963200 in words is "seventy-six billion, five hundred eighty-two million, nine hundred sixty-three thousand, two hundred".