77995968 has 56 divisors (see below), whose sum is σ = 207264000. Its totient is φ = 25885440.

The previous prime is 77995961. The next prime is 77995979. The reversal of 77995968 is 86959977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77995961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51283 + ... + 52781.

Almost surely, 2^77995968 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 77995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632000).

77995968 is an abundant number, since it is smaller than the sum of its proper divisors (129268032).

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

77995968 is a wasteful number, since it uses less digits than its factorization.

77995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 60.

The square root of 77995968 is about 8831.5325963278. The cubic root of 77995968 is about 427.2585059234.

The spelling of 77995968 in words is "seventy-seven million, nine hundred ninety-five thousand, nine hundred sixty-eight".