77859968 has 64 divisors (see below), whose sum is σ = 165240000. Its totient is φ = 36461568.

The previous prime is 77859961. The next prime is 77859989. The reversal of 77859968 is 86995877.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×77859968² = 12124349233922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77859961) 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 7 ways as a sum of consecutive naturals, for example, 155783 + ... + 156281.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^77859968 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 77859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620000).

77859968 is an abundant number, since it is smaller than the sum of its proper divisors (87380032).

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

77859968 is a wasteful number, since it uses less digits than its factorization.

77859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 59.

The square root of 77859968 is about 8823.8295541108. The cubic root of 77859968 is about 427.0100274251.

The spelling of 77859968 in words is "seventy-seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".