77730187161600 has 624 divisors, whose sum is σ = 292192785667200. Its totient is φ = 20245971271680.

The previous prime is 77730187161589. The next prime is 77730187161701. The reversal of 77730187161600 is 616178103777.

77730187161600 is a `hidden beast` number, since 7 + 7 + 7 + 3 + 0 + 18 + 7 + 1 + 616 + 0 + 0 = 666.

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

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, 118559491 + ... + 119213309.

Almost surely, 2^{77730187161600} 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 77730187161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146096392833600).

77730187161600 is an abundant number, since it is smaller than the sum of its proper divisors (214462598505600).

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

77730187161600 is a wasteful number, since it uses less digits than its factorization.

77730187161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653905 (or 653872 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 77730187161600 in words is "seventy-seven trillion, seven hundred thirty billion, one hundred eighty-seven million, one hundred sixty-one thousand, six hundred".