77686300800 has 768 divisors, whose sum is σ = 303658243200. Its totient is φ = 19328532480.

The previous prime is 77686300789. The next prime is 77686300801. The reversal of 77686300800 is 800368677.

77686300800 is a `hidden beast` number, since 7 + 7 + 6 + 8 + 630 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×77686300800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77686300801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333417484 + ... + 333417716.

Almost surely, 2^77686300800 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 77686300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151829121600).

77686300800 is an abundant number, since it is smaller than the sum of its proper divisors (225971942400).

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

77686300800 is a wasteful number, since it uses less digits than its factorization.

77686300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

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

The spelling of 77686300800 in words is "seventy-seven billion, six hundred eighty-six million, three hundred thousand, eight hundred".