77582200000 has 84 divisors (see below), whose sum is σ = 192428402544. Its totient is φ = 31032800000.

The previous prime is 77582199973. The next prime is 77582200019. The reversal of 77582200000 is 228577.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6045 + ... + 393955.

It is an arithmetic number, because the mean of its divisors is an integer number (2290814316).

Almost surely, 2^77582200000 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 77582200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96214201272).

77582200000 is an abundant number, since it is smaller than the sum of its proper divisors (114846202544).

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

77582200000 is an frugal number, since it uses more digits than its factorization.

77582200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387948 (or 387918 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

Adding to 77582200000 its reverse (228577), we get a palindrome (77582428577).

The spelling of 77582200000 in words is "seventy-seven billion, five hundred eighty-two million, two hundred thousand".