77071968 has 36 divisors (see below), whose sum is σ = 219174228. Its totient is φ = 25690560.

The previous prime is 77071957. The next prime is 77072059. The reversal of 77071968 is 86917077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133518 + ... + 134093.

It is an arithmetic number, because the mean of its divisors is an integer number (6088173).

Almost surely, 2^77071968 is an apocalyptic number.

It is an amenable number.

77071968 is an abundant number, since it is smaller than the sum of its proper divisors (142102260).

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

77071968 is a wasteful number, since it uses less digits than its factorization.

77071968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267627 (or 267616 counting only the distinct ones).

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

The square root of 77071968 is about 8779.0641870304. The cubic root of 77071968 is about 425.5645885136.

The spelling of 77071968 in words is "seventy-seven million, seventy-one thousand, nine hundred sixty-eight".