77663808000 has 480 divisors, whose sum is σ = 282525019920. Its totient is φ = 20503756800.

The previous prime is 77663807939. The next prime is 77663808023. The reversal of 77663808000 is 80836677.

77663808000 is a `hidden beast` number, since 7 + 7 + 6 + 638 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12626567424 + 65037240576 = 112368^2 + 255024^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62783382 + ... + 62784618.

Almost surely, 2^77663808000 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 77663808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141262509960).

77663808000 is an abundant number, since it is smaller than the sum of its proper divisors (204861211920).

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

77663808000 is a wasteful number, since it uses less digits than its factorization.

77663808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 77663808000 in words is "seventy-seven billion, six hundred sixty-three million, eight hundred eight thousand".