77103864 has 48 divisors (see below), whose sum is σ = 209336400. Its totient is φ = 25638144.

The previous prime is 77103847. The next prime is 77103869. The reversal of 77103864 is 46830177.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77103869) 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, 35152 + ... + 37280.

It is an arithmetic number, because the mean of its divisors is an integer number (4361175).

Almost surely, 2^77103864 is an apocalyptic number.

It is an amenable number.

77103864 is an abundant number, since it is smaller than the sum of its proper divisors (132232536).

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

77103864 is a wasteful number, since it uses less digits than its factorization.

77103864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77103864 is about 8780.8805936535. The cubic root of 77103864 is about 425.6232866213.

The spelling of 77103864 in words is "seventy-seven million, one hundred three thousand, eight hundred sixty-four".