77663214720 has 1280 divisors, whose sum is σ = 346847719680. Its totient is φ = 16124313600.

The previous prime is 77663214697. The next prime is 77663214731. The reversal of 77663214720 is 2741236677.

77663214720 is a `hidden beast` number, since 7 + 7 + 6 + 632 + 1 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 476461359 + ... + 476461521.

It is an arithmetic number, because the mean of its divisors is an integer number (270974781).

Almost surely, 2^77663214720 is an apocalyptic number.

77663214720 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 77663214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173423859840).

77663214720 is an abundant number, since it is smaller than the sum of its proper divisors (269184504960).

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

77663214720 is a wasteful number, since it uses less digits than its factorization.

77663214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 77663214720 in words is "seventy-seven billion, six hundred sixty-three million, two hundred fourteen thousand, seven hundred twenty".