77726888736 has 96 divisors (see below), whose sum is σ = 233940833280. Its totient is φ = 22135286016.

The previous prime is 77726888731. The next prime is 77726888741. The reversal of 77726888736 is 63788862777.

It is an interprime number because it is at equal distance from previous prime (77726888731) and next prime (77726888741).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77726888731) 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, 17925 + ... + 394683.

It is an arithmetic number, because the mean of its divisors is an integer number (2436883680).

Almost surely, 2^77726888736 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 77726888736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116970416640).

77726888736 is an abundant number, since it is smaller than the sum of its proper divisors (156213944544).

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

77726888736 is a wasteful number, since it uses less digits than its factorization.

77726888736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377086 (or 377078 counting only the distinct ones).

The product of its digits is 265531392, while the sum is 69.

The spelling of 77726888736 in words is "seventy-seven billion, seven hundred twenty-six million, eight hundred eighty-eight thousand, seven hundred thirty-six".