77188068 has 72 divisors (see below), whose sum is σ = 202168512. Its totient is φ = 24812352.

The previous prime is 77188063. The next prime is 77188073. The reversal of 77188068 is 86088177.

It is an interprime number because it is at equal distance from previous prime (77188063) and next prime (77188073).

It is not an unprimeable number, because it can be changed into a prime (77188061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222271 + ... + 222617.

It is an arithmetic number, because the mean of its divisors is an integer number (2807896).

Almost surely, 2^77188068 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 77188068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101084256).

77188068 is an abundant number, since it is smaller than the sum of its proper divisors (124980444).

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

77188068 is a wasteful number, since it uses less digits than its factorization.

77188068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 77188068 is about 8785.6740208137. The cubic root of 77188068 is about 425.7781692381.

The spelling of 77188068 in words is "seventy-seven million, one hundred eighty-eight thousand, sixty-eight".