77536368 has 240 divisors, whose sum is σ = 274246336. Its totient is φ = 19906560.

The previous prime is 77536339. The next prime is 77536379. The reversal of 77536368 is 86363577.

77536368 is a `hidden beast` number, since 7 + 7 + 5 + 3 + 636 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799296 + ... + 799392.

Almost surely, 2^77536368 is an apocalyptic number.

77536368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77536368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137123168).

77536368 is an abundant number, since it is smaller than the sum of its proper divisors (196709968).

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

77536368 is a wasteful number, since it uses less digits than its factorization.

77536368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 77536368 is about 8805.4737521612. The cubic root of 77536368 is about 426.4176291923.

The spelling of 77536368 in words is "seventy-seven million, five hundred thirty-six thousand, three hundred sixty-eight".