77863680 has 180 divisors, whose sum is σ = 278981472. Its totient is φ = 20736000.

The previous prime is 77863673. The next prime is 77863693. The reversal of 77863680 is 8636877.

77863680 is a `hidden beast` number, since 7 + 7 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 103305 + ... + 104055.

Almost surely, 2^77863680 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 77863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139490736).

77863680 is an abundant number, since it is smaller than the sum of its proper divisors (201117792).

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

77863680 is an equidigital number, since it uses as much as digits as its factorization.

77863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

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

The square root of 77863680 is about 8824.0398911156. The cubic root of 77863680 is about 427.0168132659.

It can be divided in two parts, 7 and 7863680, that added together give a palindrome (7863687).

The spelling of 77863680 in words is "seventy-seven million, eight hundred sixty-three thousand, six hundred eighty".