77107872 has 24 divisors (see below), whose sum is σ = 202408416. Its totient is φ = 25702592.

The previous prime is 77107861. The next prime is 77107873. The reversal of 77107872 is 27870177.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77107872.

It is not an unprimeable number, because it can be changed into a prime (77107873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401508 + ... + 401699.

It is an arithmetic number, because the mean of its divisors is an integer number (8433684).

Almost surely, 2^77107872 is an apocalyptic number.

It is an amenable number.

77107872 is an abundant number, since it is smaller than the sum of its proper divisors (125300544).

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

77107872 is a wasteful number, since it uses less digits than its factorization.

77107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803220 (or 803212 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 39.

The square root of 77107872 is about 8781.1088138116. The cubic root of 77107872 is about 425.6306613861.

The spelling of 77107872 in words is "seventy-seven million, one hundred seven thousand, eight hundred seventy-two".