77722225308 has 288 divisors, whose sum is σ = 248960065536. Its totient is φ = 19894242816.

The previous prime is 77722225307. The next prime is 77722225309. The reversal of 77722225308 is 80352222777.

77722225308 is a `hidden beast` number, since 7 + 77 + 22 + 22 + 530 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (77722225307) and next prime (77722225309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77722225307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90060085 + ... + 90060947.

It is an arithmetic number, because the mean of its divisors is an integer number (864444672).

Almost surely, 2^77722225308 is an apocalyptic number.

77722225308 is a gapful number since it is divisible by the number (78) 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 77722225308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124480032768).

77722225308 is an abundant number, since it is smaller than the sum of its proper divisors (171237840228).

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

77722225308 is a wasteful number, since it uses less digits than its factorization.

77722225308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 77722225308 in words is "seventy-seven billion, seven hundred twenty-two million, two hundred twenty-five thousand, three hundred eight".