77636736 has 96 divisors (see below), whose sum is σ = 235232400. Its totient is φ = 24509952.

The previous prime is 77636731. The next prime is 77636749. The reversal of 77636736 is 63763677.

77636736 is a `hidden beast` number, since 7 + 7 + 636 + 7 + 3 + 6 = 666.

77636736 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 77636691 and 77636700.

It is not an unprimeable number, because it can be changed into a prime (77636731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20115 + ... + 23661.

Almost surely, 2^77636736 is an apocalyptic number.

77636736 is a gapful number since it is divisible by the number (76) 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 77636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117616200).

77636736 is an abundant number, since it is smaller than the sum of its proper divisors (157595664).

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

77636736 is a wasteful number, since it uses less digits than its factorization.

77636736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3571 counting only the distinct ones).

The product of its digits is 666792, while the sum is 45.

The square root of 77636736 is about 8811.1710912909. The cubic root of 77636736 is about 426.6015438802.

The spelling of 77636736 in words is "seventy-seven million, six hundred thirty-six thousand, seven hundred thirty-six".