77017968 has 60 divisors (see below), whose sum is σ = 222987960. Its totient is φ = 24786048.

The previous prime is 77017949. The next prime is 77017987. The reversal of 77017968 is 86971077.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77017949) and next prime (77017987).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5046 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (3716466).

Almost surely, 2^77017968 is an apocalyptic number.

It is an amenable number.

77017968 is an abundant number, since it is smaller than the sum of its proper divisors (145969992).

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

77017968 is a wasteful number, since it uses less digits than its factorization.

77017968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18486 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77017968 is about 8775.9881494906. The cubic root of 77017968 is about 425.4651755557.

The spelling of 77017968 in words is "seventy-seven million, seventeen thousand, nine hundred sixty-eight".