77286880 has 48 divisors (see below), whose sum is σ = 199193904. Its totient is φ = 28103680.

The previous prime is 77286857. The next prime is 77286887. The reversal of 77286880 is 8868277.

It is a self number, because there is not a number n which added to its sum of digits gives 77286880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77286887) 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 7 ways as a sum of consecutive naturals, for example, 20197 + ... + 23716.

It is an arithmetic number, because the mean of its divisors is an integer number (4149873).

Almost surely, 2^77286880 is an apocalyptic number.

It is an amenable number.

77286880 is an abundant number, since it is smaller than the sum of its proper divisors (121907024).

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

77286880 is a wasteful number, since it uses less digits than its factorization.

77286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43939 (or 43931 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 77286880 is about 8791.2956951749. The cubic root of 77286880 is about 425.9597778448.

The spelling of 77286880 in words is "seventy-seven million, two hundred eighty-six thousand, eight hundred eighty".