77227737552 has 160 divisors (see below), whose sum is σ = 253597935360. Its totient is φ = 22042575360.

The previous prime is 77227737541. The next prime is 77227737577. The reversal of 77227737552 is 25573772277.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074998 + ... + 3100010.

It is an arithmetic number, because the mean of its divisors is an integer number (1584987096).

Almost surely, 2^77227737552 is an apocalyptic number.

77227737552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77227737552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126798967680).

77227737552 is an abundant number, since it is smaller than the sum of its proper divisors (176370197808).

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

77227737552 is a wasteful number, since it uses less digits than its factorization.

77227737552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26058 (or 26046 counting only the distinct ones).

The product of its digits is 10084200, while the sum is 54.

The spelling of 77227737552 in words is "seventy-seven billion, two hundred twenty-seven million, seven hundred thirty-seven thousand, five hundred fifty-two".