77663949120 has 224 divisors, whose sum is σ = 285894109440. Its totient is φ = 19809884160.

The previous prime is 77663949109. The next prime is 77663949137. The reversal of 77663949120 is 2194936677.

It is a happy number.

77663949120 is a `hidden beast` number, since 7 + 76 + 63 + 9 + 491 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3310 + ... + 394130.

Almost surely, 2^77663949120 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 77663949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142947054720).

77663949120 is an abundant number, since it is smaller than the sum of its proper divisors (208230160320).

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

77663949120 is a wasteful number, since it uses less digits than its factorization.

77663949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390870 (or 390854 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 77663949120 in words is "seventy-seven billion, six hundred sixty-three million, nine hundred forty-nine thousand, one hundred twenty".