77536768 has 40 divisors (see below), whose sum is σ = 155905200. Its totient is φ = 38522880.

The previous prime is 77536759. The next prime is 77536787. The reversal of 77536768 is 86763577.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101508 + ... + 102268.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2^77536768 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 77536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77952600).

77536768 is an abundant number, since it is smaller than the sum of its proper divisors (78368432).

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

77536768 is an equidigital number, since it uses as much as digits as its factorization.

77536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 962 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 49.

The square root of 77536768 is about 8805.4964652767. The cubic root of 77536768 is about 426.4183624686.

The spelling of 77536768 in words is "seventy-seven million, five hundred thirty-six thousand, seven hundred sixty-eight".