77767116 has 36 divisors (see below), whose sum is σ = 211083768. Its totient is φ = 22219008.

The previous prime is 77767111. The next prime is 77767141. The reversal of 77767116 is 61176777.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77767111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65541 + ... + 66716.

It is an arithmetic number, because the mean of its divisors is an integer number (5863438).

Almost surely, 2^77767116 is an apocalyptic number.

It is an amenable number.

77767116 is an abundant number, since it is smaller than the sum of its proper divisors (133316652).

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

77767116 is a wasteful number, since it uses less digits than its factorization.

77767116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132278 (or 132269 counting only the distinct ones).

The product of its digits is 86436, while the sum is 42.

The square root of 77767116 is about 8818.5665501826. The cubic root of 77767116 is about 426.8402161276.

The spelling of 77767116 in words is "seventy-seven million, seven hundred sixty-seven thousand, one hundred sixteen".