77730693562368 has 1080 divisors, whose sum is σ = 290740297096704. Its totient is φ = 20187640627200.

The previous prime is 77730693562309. The next prime is 77730693562373. The reversal of 77730693562368 is 86326539603777.

77730693562368 is a `hidden beast` number, since 7 + 7 + 7 + 30 + 6 + 9 + 356 + 236 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77730693562296 and 77730693562305.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8277142953 + ... + 8277152343.

Almost surely, 2^{77730693562368} 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 77730693562368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145370148548352).

77730693562368 is an abundant number, since it is smaller than the sum of its proper divisors (213009603534336).

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

77730693562368 is an frugal number, since it uses more digits than its factorization.

77730693562368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 72.

The spelling of 77730693562368 in words is "seventy-seven trillion, seven hundred thirty billion, six hundred ninety-three million, five hundred sixty-two thousand, three hundred sixty-eight".