77345313696 has 672 divisors, whose sum is σ = 278564952960. Its totient is φ = 20639121408.

The previous prime is 77345313679. The next prime is 77345313733. The reversal of 77345313696 is 69631354377.

It is a happy number.

77345313696 is a `hidden beast` number, since 7 + 73 + 4 + 531 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 300954400 + ... + 300954656.

It is an arithmetic number, because the mean of its divisors is an integer number (414531180).

Almost surely, 2^77345313696 is an apocalyptic number.

77345313696 is a gapful number since it is divisible by the number (76) 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 77345313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139282476480).

77345313696 is an abundant number, since it is smaller than the sum of its proper divisors (201219639264).

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

77345313696 is a wasteful number, since it uses less digits than its factorization.

77345313696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 77345313696 in words is "seventy-seven billion, three hundred forty-five million, three hundred thirteen thousand, six hundred ninety-six".