77865696 has 72 divisors (see below), whose sum is σ = 229090680. Its totient is φ = 25057536.

The previous prime is 77865691. The next prime is 77865713. The reversal of 77865696 is 69656877.

It is a happy number.

77865696 is a `hidden beast` number, since 7 + 78 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77865696² = 12126133227128832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77865691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 2^77865696 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 77865696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114545340).

77865696 is an abundant number, since it is smaller than the sum of its proper divisors (151224984).

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

77865696 is a wasteful number, since it uses less digits than its factorization.

77865696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9357 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 77865696 is about 8824.1541237673. The cubic root of 77865696 is about 427.0204985890.

The spelling of 77865696 in words is "seventy-seven million, eight hundred sixty-five thousand, six hundred ninety-six".