77971968 has 60 divisors (see below), whose sum is σ = 225045678. Its totient is φ = 25989120.

The previous prime is 77971939. The next prime is 77972023. The reversal of 77971968 is 86917977.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 18249984 = 7728^2 + 4272^2 .

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, 3853 + ... + 13068.

Almost surely, 2^77971968 is an apocalyptic number.

It is an amenable number.

77971968 is an abundant number, since it is smaller than the sum of its proper divisors (147073710).

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

77971968 is a wasteful number, since it uses less digits than its factorization.

77971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16926 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The square root of 77971968 is about 8830.1737242254. The cubic root of 77971968 is about 427.2146777771.

The spelling of 77971968 in words is "seventy-seven million, nine hundred seventy-one thousand, nine hundred sixty-eight".