77889168 has 160 divisors (see below), whose sum is σ = 261888000. Its totient is φ = 21700224.

The previous prime is 77889139. The next prime is 77889169. The reversal of 77889168 is 86198877.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77889169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129733 + ... + 130331.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 2^77889168 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 77889168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944000).

77889168 is an abundant number, since it is smaller than the sum of its proper divisors (183998832).

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

77889168 is a wasteful number, since it uses less digits than its factorization.

77889168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 77889168 is about 8825.4840093901. The cubic root of 77889168 is about 427.0634015990.

The spelling of 77889168 in words is "seventy-seven million, eight hundred eighty-nine thousand, one hundred sixty-eight".