77964996340 has 192 divisors, whose sum is σ = 217902182400. Its totient is φ = 22696934400.

The previous prime is 77964996337. The next prime is 77964996349. The reversal of 77964996340 is 4369946977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77964996349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2058696 + ... + 2096224.

It is an arithmetic number, because the mean of its divisors is an integer number (1134907200).

Almost surely, 2^77964996340 is an apocalyptic number.

77964996340 is a gapful number since it is divisible by the number (70) 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 77964996340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108951091200).

77964996340 is an abundant number, since it is smaller than the sum of its proper divisors (139937186060).

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

77964996340 is a wasteful number, since it uses less digits than its factorization.

77964996340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37646 (or 37644 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 64.

The spelling of 77964996340 in words is "seventy-seven billion, nine hundred sixty-four million, nine hundred ninety-six thousand, three hundred forty".