77527833280 has 112 divisors (see below), whose sum is σ = 195516276480. Its totient is φ = 29219908608.

The previous prime is 77527833239. The next prime is 77527833289. The reversal of 77527833280 is 8233872577.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (77527833289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414511 + ... + 571729.

It is an arithmetic number, because the mean of its divisors is an integer number (1745681040).

Almost surely, 2^77527833280 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 77527833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97758138240).

77527833280 is an abundant number, since it is smaller than the sum of its proper divisors (117988443200).

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

77527833280 is a wasteful number, since it uses less digits than its factorization.

77527833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157326 (or 157316 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 77527833280 in words is "seventy-seven billion, five hundred twenty-seven million, eight hundred thirty-three thousand, two hundred eighty".