77761971 has 48 divisors (see below), whose sum is σ = 136663200. Its totient is φ = 43557696.

The previous prime is 77761951. The next prime is 77761987. The reversal of 77761971 is 17916777.

It is not a de Polignac number, because 77761971 - 2⁵ = 77761939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77761951) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 69565 + ... + 70673.

It is an arithmetic number, because the mean of its divisors is an integer number (2847150).

Almost surely, 2^77761971 is an apocalyptic number.

77761971 is a deficient number, since it is larger than the sum of its proper divisors (58901229).

77761971 is a wasteful number, since it uses less digits than its factorization.

77761971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1172 counting only the distinct ones).

The product of its digits is 129654, while the sum is 45.

The square root of 77761971 is about 8818.2748312808. The cubic root of 77761971 is about 426.8308028029.

The spelling of 77761971 in words is "seventy-seven million, seven hundred sixty-one thousand, nine hundred seventy-one".