77967307684 has 96 divisors (see below), whose sum is σ = 161596915200. Its totient is φ = 32219016192.

The previous prime is 77967307651. The next prime is 77967307687. The reversal of 77967307684 is 48670376977.

It is not an unprimeable number, because it can be changed into a prime (77967307687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65353392 + ... + 65354584.

It is an arithmetic number, because the mean of its divisors is an integer number (1683301200).

Almost surely, 2^77967307684 is an apocalyptic number.

77967307684 is a gapful number since it is divisible by the number (74) 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 77967307684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80798457600).

77967307684 is an abundant number, since it is smaller than the sum of its proper divisors (83629607516).

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

77967307684 is a wasteful number, since it uses less digits than its factorization.

77967307684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 64.

The spelling of 77967307684 in words is "seventy-seven billion, nine hundred sixty-seven million, three hundred seven thousand, six hundred eighty-four".